web01.fireside.fm Sat, 30 May 2026 22:50:04 -0500 Fireside (https://fireside.fm) Odds and Evenings - Episodes Tagged with “Sequences” https://www.oddsandevenings.com/tags/sequences Sat, 15 Dec 2018 00:45:00 +0000 Playing around with maths and puzzles was something that the two hosts spent their time at university doing together. Now in their late twenties with proper grown up jobs, Alaric and Alex carve out the occasional evening to sit back and smell the numbers. Not all of the mathematics is entry level, but they envisioned this podcast for those people whose science degrees may be long behind them, but who still get a kick out of recreational numbering. If this is your first time listening, episode 4 is a good representation of the show as a whole and can be used as a jumping on point. All episodes can be played in browser here or you can subscribe on all major podcast apps. en-gb episodic A podcast about mathematics, puzzles, numbers and games Odds and Evenings Playing around with maths and puzzles was something that the two hosts spent their time at university doing together. Now in their late twenties with proper grown up jobs, Alaric and Alex carve out the occasional evening to sit back and smell the numbers. Not all of the mathematics is entry level, but they envisioned this podcast for those people whose science degrees may be long behind them, but who still get a kick out of recreational numbering. If this is your first time listening, episode 4 is a good representation of the show as a whole and can be used as a jumping on point. All episodes can be played in browser here or you can subscribe on all major podcast apps. no Maths, Math, Mathematics, Podcast, Puzzles, Game Theory, Science, Physics, Numbers, Games Odds and Evenings oddsevenings@gmail.com #24 - Shamir's, Sums and Seatings https://www.oddsandevenings.com/24 68ad7848-2bf2-4815-bd48-1ff9adbeecca Sat, 15 Dec 2018 00:45:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Trapezium Numbers - Shamir's Shared Secrets - Vampire and Werewolf Lies 1:05:15 no <p>The boys celebrate a year of the podcast, try to get a hold on some of the weirder polygonal numbers and debrief after big maths jam. </p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Trapezium Numbers</li> <li>Shamir's Shared Secrets</li> <li>Vampire and Werewolf Lies</li> </ul> <h3>Show Notes</h3> <p><a href="https://twitter.com/Cshearer41" target="_blank" rel="nofollow noopener">Catriona Shearer's Geometry Puzzles on Twitter</a><br> <a href="https://twitter.com/MathigonOrg/status/1070302146632081409?s=09" target="_blank" rel="nofollow noopener">Mathigon's Tweet about Trapezium Numbers</a><br> <a href="https://www.hindawi.com/journals/ijmms/2017/4515249/#B4" target="_blank" rel="nofollow noopener">An Article on Properties of Trapezium Numbers</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/5/1/lock-gates?rq=key" target="_blank" rel="nofollow noopener">Alaric's Lock Gates Article</a><br> <a href="https://ericrafaloff.com/shamirs-secret-sharing-scheme/" target="_blank" rel="nofollow noopener">A Good Quality Shamir's Shared Secrets Article</a><br> <a href="https://www.cs.ox.ac.uk/admissions/undergraduate/how_to_apply/MAT2015.pdf" target="_blank" rel="nofollow noopener">The Vampire and Werewolf MAT Question</a><br> <a href="https://www.maths.ox.ac.uk/system/files/attachments/websolutions15_1.pdf" target="_blank" rel="nofollow noopener">The Answers to the MAT Question</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Silver Service at the Vampire-Werewolf Symposium by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Numbers, Puzzles, Number Theory, Sequences, Information Theory The boys celebrate a year of the podcast, try to get a hold on some of the weirder polygonal numbers and debrief after big maths jam.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Trapezium Numbers
  • Shamir's Shared Secrets
  • Vampire and Werewolf Lies

Show Notes

Catriona Shearer's Geometry Puzzles on Twitter
Mathigon's Tweet about Trapezium Numbers
An Article on Properties of Trapezium Numbers
Alaric's Lock Gates Article
A Good Quality Shamir's Shared Secrets Article
The Vampire and Werewolf MAT Question
The Answers to the MAT Question

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Editing by Alex
Silver Service at the Vampire-Werewolf Symposium by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> The boys celebrate a year of the podcast, try to get a hold on some of the weirder polygonal numbers and debrief after big maths jam.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Trapezium Numbers
  • Shamir's Shared Secrets
  • Vampire and Werewolf Lies

Show Notes

Catriona Shearer's Geometry Puzzles on Twitter
Mathigon's Tweet about Trapezium Numbers
An Article on Properties of Trapezium Numbers
Alaric's Lock Gates Article
A Good Quality Shamir's Shared Secrets Article
The Vampire and Werewolf MAT Question
The Answers to the MAT Question

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Editing by Alex
Silver Service at the Vampire-Werewolf Symposium by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #23 - Ants, Arcs and Awkward Patterns https://www.oddsandevenings.com/23 b5eaa555-8891-4c52-909d-a7dc70e64924 Mon, 26 Nov 2018 01:15:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Factorial Terminating Digits - Making Polyhedra with your Limbs - Spiders and an Ant Pursuit Puzzle 55:46 no <p>The boys get to the bottom of a neat pattern that suddenly breaks, contort their limbs into strange shapes in the name of Plato and attempt a very satisfying problem involving some spiders and an ant.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Factorial Terminating Digits</li> <li>Making Polyhedra with your Limbs</li> <li>Spiders and an Ant Pursuit Puzzle</li> </ul> <h3>Show Notes</h3> <p><a href="https://ufile.io/twukd" target="_blank" rel="nofollow noopener">Nice PDF of the Solution to the Partitions Problem by André Malraux</a><br> <a href="https://twitter.com/OddsAndEvenings/status/1064153315280330752" target="_blank" rel="nofollow noopener">Alaric's Puzzle from the Conference</a><br> <a href="https://upload.wikimedia.org/wikipedia/commons/d/d3/Platonic_solids.jpg" target="_blank" rel="nofollow noopener">Platonic Solids to Stare at during Sections 2 and 3 of the Show</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Fervent attempts to keep on top of responding to emails for the show by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, 3D Shapes, Topology, Numbers, Puzzles, Number Theory, Sequences The boys get to the bottom of a neat pattern that suddenly breaks, contort their limbs into strange shapes in the name of Plato and attempt a very satisfying problem involving some spiders and an ant.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Factorial Terminating Digits
  • Making Polyhedra with your Limbs
  • Spiders and an Ant Pursuit Puzzle

Show Notes

Nice PDF of the Solution to the Partitions Problem by André Malraux
Alaric's Puzzle from the Conference
Platonic Solids to Stare at during Sections 2 and 3 of the Show

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Editing by Alex
Fervent attempts to keep on top of responding to emails for the show by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> The boys get to the bottom of a neat pattern that suddenly breaks, contort their limbs into strange shapes in the name of Plato and attempt a very satisfying problem involving some spiders and an ant.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Factorial Terminating Digits
  • Making Polyhedra with your Limbs
  • Spiders and an Ant Pursuit Puzzle

Show Notes

Nice PDF of the Solution to the Partitions Problem by André Malraux
Alaric's Puzzle from the Conference
Platonic Solids to Stare at during Sections 2 and 3 of the Show

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Editing by Alex
Fervent attempts to keep on top of responding to emails for the show by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #12 - Ducks, Deals and Doku https://www.oddsandevenings.com/12 2623447f-cd43-4084-ac0b-6de2c66f8373 Sun, 06 May 2018 23:00:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Email Bidding Game - Zero Knowledge Sudoku - Duck Pond Probabilities 55:24 no <p>The boys shout about Texans and prove they've solved something but they won't tell you how.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Email Bidding Game</li> <li>Zero Knowledge Sudoku</li> <li>Duck Pond Probabilities</li> </ul> <h3>Show Notes</h3> <p><a href="http://www.alaricstephen.com/main-featured/2016/10/5/the-email-bidding-game" target="_blank" rel="nofollow noopener">Email Bidding Game</a><br> <a href="http://www.alaricstephen.com/main-featured/2016/11/14/duck-pond" target="_blank" rel="nofollow noopener">Duck Pond Problem with pictures</a><br> <a href="https://www.youtube.com/watch?v=OkmNXy7er84" target="_blank" rel="nofollow noopener">The Hardest Problem on The Hardest Test by 3Blue1Brown</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Edited by Alex<br> Ominous apocalyptic hum by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> The boys shout about Texans and prove they've solved something but they won't tell you how.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Email Bidding Game
  • Zero Knowledge Sudoku
  • Duck Pond Probabilities

Show Notes

Email Bidding Game
Duck Pond Problem with pictures
The Hardest Problem on The Hardest Test by 3Blue1Brown

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Ominous apocalyptic hum by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> The boys shout about Texans and prove they've solved something but they won't tell you how.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Email Bidding Game
  • Zero Knowledge Sudoku
  • Duck Pond Probabilities

Show Notes

Email Bidding Game
Duck Pond Problem with pictures
The Hardest Problem on The Hardest Test by 3Blue1Brown

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Ominous apocalyptic hum by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #10 - Stacks, Splitting and Seating https://www.oddsandevenings.com/10 673f3f14-2abd-4e6a-ad93-718a0a5bc610 Mon, 09 Apr 2018 01:45:00 +0100 Odds and Evenings full Odds and Evenings Topics discussed: - Minecraft Grid Numbers - Stack Thirding - Plane Seat Puzzle 1:03:52 no <p>The boys have been playing computer games and have each found maths in the machine.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Minecraft Grid Numbers</li> <li>Stack Thirding</li> <li>Plane Seat Puzzle</li> </ul> <h3>Show Notes</h3> <p><a href="https://math.stackexchange.com/questions/5595/taking-seats-on-a-plane" target="_blank" rel="nofollow noopener">A Good Analysis of the Actual Maths of the Plane Seat Problem</a><br> <a href="https://twitter.com/OddsAndEvenings/status/978430401298518017" target="_blank" rel="nofollow noopener">Images of Our Various 1-ln2 Proofs On Twitter</a><br> Thomas Veness' Solutions to the Scrabble Permutations:<br> ['ait', 'tai', 'ita']<br> ['ary', 'yar', 'rya']<br> ['ash', 'has', 'sha']<br> ['ask', 'kas', 'ska']<br> ['asp', 'pas', 'spa']<br> ['ate', 'eat', 'tea']<br> ['chi', 'ich', 'hic']<br> ['dso', 'ods', 'sod']<br> ['eat', 'tea', 'ate']<br> ['een', 'nee', 'ene']<br> ['eth', 'het', 'the']<br> ['hic', 'chi', 'ich']<br> ['hoo', 'oho', 'ooh']<br> ['ich', 'hic', 'chi']<br> ['kas', 'ska', 'ask']<br> ['noo', 'ono', 'oon']<br> ['zzz', 'zzz', 'zzz']<br> ['nala', 'anal', 'lana', 'alan']<br> ['nana', 'anan', 'nana', 'anan']<br> ['sese', 'eses', 'sese', 'eses'] </p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Edited by Alex<br> Genuine mathematical rigour by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> The boys have been playing computer games and have each found maths in the machine.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Minecraft Grid Numbers
  • Stack Thirding
  • Plane Seat Puzzle

Show Notes

A Good Analysis of the Actual Maths of the Plane Seat Problem
Images of Our Various 1-ln2 Proofs On Twitter
Thomas Veness' Solutions to the Scrabble Permutations:
['ait', 'tai', 'ita']
['ary', 'yar', 'rya']
['ash', 'has', 'sha']
['ask', 'kas', 'ska']
['asp', 'pas', 'spa']
['ate', 'eat', 'tea']
['chi', 'ich', 'hic']
['dso', 'ods', 'sod']
['eat', 'tea', 'ate']
['een', 'nee', 'ene']
['eth', 'het', 'the']
['hic', 'chi', 'ich']
['hoo', 'oho', 'ooh']
['ich', 'hic', 'chi']
['kas', 'ska', 'ask']
['noo', 'ono', 'oon']
['zzz', 'zzz', 'zzz']
['nala', 'anal', 'lana', 'alan']
['nana', 'anan', 'nana', 'anan']
['sese', 'eses', 'sese', 'eses']

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Genuine mathematical rigour by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> The boys have been playing computer games and have each found maths in the machine.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Minecraft Grid Numbers
  • Stack Thirding
  • Plane Seat Puzzle

Show Notes

A Good Analysis of the Actual Maths of the Plane Seat Problem
Images of Our Various 1-ln2 Proofs On Twitter
Thomas Veness' Solutions to the Scrabble Permutations:
['ait', 'tai', 'ita']
['ary', 'yar', 'rya']
['ash', 'has', 'sha']
['ask', 'kas', 'ska']
['asp', 'pas', 'spa']
['ate', 'eat', 'tea']
['chi', 'ich', 'hic']
['dso', 'ods', 'sod']
['eat', 'tea', 'ate']
['een', 'nee', 'ene']
['eth', 'het', 'the']
['hic', 'chi', 'ich']
['hoo', 'oho', 'ooh']
['ich', 'hic', 'chi']
['kas', 'ska', 'ask']
['noo', 'ono', 'oon']
['zzz', 'zzz', 'zzz']
['nala', 'anal', 'lana', 'alan']
['nana', 'anan', 'nana', 'anan']
['sese', 'eses', 'sese', 'eses']

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Genuine mathematical rigour by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #9 - Cows, Counting and Chin Ups https://www.oddsandevenings.com/9 3364c797-8466-4295-bdfe-b0d148927dac Tue, 27 Mar 2018 00:30:00 +0100 Odds and Evenings full Odds and Evenings Topics discussed - Narayana's Cows - Welsh Numbers - Weightlifting Maths 1:04:14 no <p>In a special face to face edition of the podcast the boys stumble over a sequence involving cows, look at number systems in other languages and try to optimise Alaric's regime for loading and unloading a barbell.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Narayana's Cows</li> <li>Welsh Numbers</li> <li>Weightlifting Maths</li> </ul> <h3>Links</h3> <p><a href="http://oeis.org/A000930" target="_blank" rel="nofollow noopener">Narayana's Cows Sequence</a><br> <a href="https://www.facebook.com/ArtOfMathematics/photos/a.152024481885601.1073741828.151575005263882/429421447479235/?type=3&amp;theater" target="_blank" rel="nofollow noopener">Narayana's Cows in Pascal's Triangle</a><br> <a href="https://www.mathsjam.com" target="_blank" rel="nofollow noopener">Maths Jam</a><br> <a href="http://www.sf.airnet.ne.jp/ts/language/number.html" target="_blank" rel="nofollow noopener">Different Languages' Number System Complexities</a><br> <a href="https://www.youtube.com/watch?v=JHMb0H_Y0RI&amp;ab_channel=SpeakMouthWords" target="_blank" rel="nofollow noopener">Alex's Youtube Channel on Trig</a><br> <a href="https://docs.google.com/spreadsheets/d/1mZV5elTMv8K2yReqTKrJYBnfSx3qmICQiYUBr6pO5Xg/edit?usp=sharing" target="_blank" rel="nofollow noopener">Alaric's Overdesigned Workout Spreadsheet</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Edited by Alex<br> Token attempts to maintain our social media by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> In a special face to face edition of the podcast the boys stumble over a sequence involving cows, look at number systems in other languages and try to optimise Alaric's regime for loading and unloading a barbell.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Narayana's Cows
  • Welsh Numbers
  • Weightlifting Maths

Links

Narayana's Cows Sequence
Narayana's Cows in Pascal's Triangle
Maths Jam
Different Languages' Number System Complexities
Alex's Youtube Channel on Trig
Alaric's Overdesigned Workout Spreadsheet

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Token attempts to maintain our social media by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> In a special face to face edition of the podcast the boys stumble over a sequence involving cows, look at number systems in other languages and try to optimise Alaric's regime for loading and unloading a barbell.

Odds and Evenings

Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com

Topics discussed

  • Narayana's Cows
  • Welsh Numbers
  • Weightlifting Maths

Links

Narayana's Cows Sequence
Narayana's Cows in Pascal's Triangle
Maths Jam
Different Languages' Number System Complexities
Alex's Youtube Channel on Trig
Alaric's Overdesigned Workout Spreadsheet

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

Edited by Alex
Token attempts to maintain our social media by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]>