Additive Squares

Word of length 337 over {0, 1, 2, 13}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

0100200300-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

0 1 0 2 0 1 0 13 0 1 0 2 1 0 1 13 2 0 2 1 0 2 13 0 13 1 0 2 13 2 1 13 2 13 0 13 1 0 13 0 2 0 13 0 1 0 2 1 2 13 2 1 0 13 0 1 0 2 0 1 0 13 1 2 1 0 2 1 2 13 2 1 2 0 1 0 13 0 2 13 0 13 1 13 2 1 2 0 2 1 2 13 2 1 0 13 1 13 2 13 1 13 0 13 2 0 13 0 1 0 2 1 13 2 0 2 13 1 13 0 2 13 1 0 1 2 0 1 0 13 0 2 0 13 0 1 13 0 13 2 13 1 13 0 1 0 2 1 2 13 0 2 13 1 13 2 0 13 0 1 13 0 13 2 13 1 13 2 13 0 2 13 2 1 2 13 2 0 2 1 0 2 0 13 2 1 2 13 0 13 1 13 2 1 0 2 0 13 0 1 0 13 0 2 13 0 13 1 13 2 13 0 2 13 2 1 2 0 1 13 1 2 13 1 13 0 1 0 2 1 13 1 0 2 1 2 13 2 1 2 0 2 1 13 1 0 2 0 1 0 13 0 1 0 2 1 2 13 0 1 0 2 0 13 1 13 0 13 2 0 2 1 2 13 2 0 13 2 13 1 13 2 13 0 13 1 0 13 0 2 0 13 0 1 0 2 1 0 1 13 0 13 2 13 1 2 1 0 1 2 1 13 1 0 2 0 1 0 13 0 1 0 2 1 13 2 0 2 1 0 1 13 0 1 2 0 1

Alphabet {0, 1, 2, 13}

size 4 · diameter 13 · record length 337 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

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