Additive Squares

Word of length 504 over {0, 1, 12, 14}

by Aayush Rajasekaran, 2026-08-26 · the current record for this alphabet · JSON

0100200300400500-200-1000 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -7 (drift removed).

12 1 0 14 1 0 1 12 1 0 1 14 0 14 12 14 0 1 0 12 1 0 14 12 14 1 12 14 12 0 12 1 0 1 14 0 1 0 12 1 0 1 14 12 1 12 0 1 0 14 1 14 12 1 14 0 14 1 14 12 1 12 0 14 12 14 1 12 14 12 0 1 0 14 0 12 1 12 14 12 0 12 14 12 1 14 0 14 12 0 14 0 1 0 12 1 0 1 14 1 0 1 12 0 12 14 12 0 12 1 0 12 0 14 1 12 1 0 1 14 1 0 1 12 0 12 14 1 0 1 12 1 14 0 14 1 14 12 14 1 14 0 1 12 1 0 14 1 0 12 1 12 14 1 12 1 0 1 14 1 0 1 12 0 1 0 14 0 1 0 12 0 14 12 0 12 1 0 14 0 1 0 12 0 1 14 0 14 12 14 0 14 1 14 12 0 1 12 0 12 14 12 0 12 1 12 14 1 12 1 0 12 0 14 0 1 0 12 1 0 1 14 1 0 1 12 0 12 14 1 14 0 12 14 12 1 12 0 1 12 1 14 1 0 14 1 14 12 14 0 14 12 14 1 12 1 0 12 1 12 14 12 0 12 14 12 1 14 1 0 12 14 0 12 0 1 0 12 14 1 12 1 0 1 12 14 1 14 0 14 1 12 0 1 12 1 14 12 14 0 14 12 1 14 1 0 14 1 14 12 14 0 14 12 14 1 12 14 12 0 12 14 12 1 12 0 1 0 14 1 14 12 1 12 0 12 14 12 1 14 12 14 0 14 1 14 12 1 14 1 0 1 14 1 12 1 0 12 0 14 0 12 1 14 12 1 12 0 12 1 12 14 12 0 14 12 14 1 12 0 1 14 1 0 12 0 14 12 0 12 1 0 12 0 14 1 0 1 12 1 14 1 12 1 0 12 14 0 1 0 12 14 12 1 12 14 0 14 12 1 14 0 1 14 1 12 1 14 1 0 1 12 0 1 0 14 0 1 0 12 1 12 14 0 1 0 12 0 14 0 12 0 1 12 14 12 0 14 12 14 1 12 1 0 1 14 1 0 1 12 0 12 14 0 12 1 14 1 0 1 12 0 12 14 12 1 12 14 12 0 14 12 1 14 0 14 1 12 1 0 12 0 14 0

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Alphabet {0, 1, 12, 14}

size 4 · diameter 14 · record length 504 · JSON

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

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