Additive Squares

Word of length 427 over {0, 1, 7, 12}

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

0100200300400-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

0 1 0 7 0 1 0 12 0 1 0 7 1 0 1 12 1 0 1 7 1 12 7 0 7 1 0 1 12 0 1 0 7 0 12 0 7 0 1 7 0 12 1 7 12 1 12 0 7 0 12 0 1 12 1 7 1 0 1 7 1 12 7 0 1 7 12 1 12 0 1 7 0 12 7 12 1 12 7 12 0 12 1 0 12 0 7 0 1 0 12 1 7 1 0 7 0 12 0 7 0 1 7 0 12 7 12 1 7 1 0 7 0 12 0 1 0 7 1 0 1 12 1 0 1 7 1 12 7 1 7 0 1 12 1 0 1 7 0 12 7 0 7 1 12 0 12 7 0 12 0 1 0 12 0 7 0 1 7 12 7 0 1 0 12 1 0 1 7 1 12 7 1 7 0 7 12 7 1 12 7 12 0 12 7 12 1 12 0 1 7 0 7 12 7 1 12 0 1 7 1 0 12 0 1 7 0 7 12 0 12 1 12 0 12 7 12 1 0 7 0 12 7 12 1 12 7 12 0 7 12 7 1 7 0 7 1 7 12 1 12 0 12 7 0 12 0 1 7 12 1 0 12 1 7 12 7 0 7 1 7 12 1 7 1 0 1 12 1 0 1 7 0 1 0 12 0 7 0 1 7 1 12 7 12 0 7 0 1 0 12 0 7 12 0 12 1 12 7 12 1 12 0 1 7 12 7 1 7 0 7 1 12 7 1 0 1 12 0 1 0 7 12 7 1 12 7 0 12 0 1 0 12 0 7 0 1 7 12 7 0 1 7 1 12 1 0 1 7 0 1 0 12 0 1 0 7 1 7 12 0 1 0 12 0 7 0 12 0 1 12 7 12 0 7 12 7 1 7 0 7 12 0 7 0 1 12 1 0 7 1 7 12 1 7 1 0 1 12 0 1 0 7 0 1 0 12 1 12 7 12 0 1 0 7 1 0 1 12 1 7 1 12 1 0 12 1

Alphabet {0, 1, 7, 12}

size 4 · diameter 12 · record length 427 · JSON

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

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