I worked a bit on some ideas for a 2021 , raiding the Online Encyclopedia of Integer Sequences for inspiration.

Implemented the basic algorithm of one so far: the sum of all the parts of all the partitions of 43 into 9 primes is 2021. (There are 47 partitions, 2021 is the product of two adjacent 43 * 47). Making it prettier is a task for later.


Number of partitions of n into distinct parts >= 4. a(61) = 2021; pictured: a(36) = 120

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Number of partitions of n into distinct parts >= 4; pictured: a(47) = 447.

No gaps this time. Scanlines are doubled to get a better aspect ratio.

Will probably try to do the full a(61) = 2021 as high resolution (vector) graphics for the final image, these textures are starting to look pretty nice

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Number of partitions of n into distinct parts >= 4; a(61) = 2021. PPM export rendered as a byte string. Not sure about the colour scheme. This one is stretched vertically more at the top (small parts) than the bottom (big parts) for aesthetic reasons.

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Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 1), (1, 0, -1), (1, 0, 1)}.
a(6) = 2021

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