The Aperiodical 

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Sequences in the triangle and the fourth dimension

By David Benjamin. Posted December 19, 2021

This is the second in a series of guest posts by David Benjamin, exploring the secrets of Pascal’s Triangle.

Sequences in the diagonals

There are many sequences of numbers to be found in Pascal’s triangle. The Natural numbers occur in the second diagonal, running in either direction, and the next two diagonals after that contain other important sequences:

Sequences in the diagonals

There are many sequences of numbers to be found in Pascal’s triangle. The Natural numbers occur in the second diagonal, running in either direction, and the next two diagonals after that contain other important sequences:

More Or Less integer sequence solution revealed (spoilers!)

By Paul Taylor. Posted October 6, 2013

Radio 4 maths police More or Less took time off from calling out journalists and deputy prime ministers for their misuse of statistics this series to sneak a hidden maths puzzle into their show. The first five episodes were “brought to us by” the numbers, respectively, 1, 49, 100, 784 and 1444. Listeners were invited to work out what number would bring us the final episode.

Matt Parker’s Twitter Puzzle – 24th Sept

By Katie Steckles. Posted September 24, 2013

Matt’s at it again, posting puzzles on that Twitter:

Fun fact: you can arrange all the numbers from 1 to 17 so that each adjacent pair adds to a square number. Off you go! #mathspuzzle

— Matt Parker (@standupmaths) September 24, 2013

Plus a clarification:

To clarify: “each adjacent pair” means all but the end numbers are used twice. It’s every pair of neighbours as you go down the row.

— Matt Parker (@standupmaths) September 24, 2013

No spoilers in the comments please. Reply to Matt on Twitter!