Additive Squares

Word of length 306 over {0, 4, 7, 12}

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

0100200300-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

0 4 0 7 0 4 0 12 0 4 0 7 4 0 4 12 4 0 4 7 4 12 7 0 7 4 0 4 12 0 4 0 7 0 12 7 4 12 7 12 0 7 0 4 7 0 7 12 7 4 7 12 7 0 12 7 12 4 0 7 4 12 4 0 7 0 12 4 12 7 4 7 0 7 12 7 4 12 7 12 0 12 7 12 4 7 4 0 12 7 12 0 12 4 12 0 7 12 0 4 0 7 0 12 7 12 4 7 0 4 7 4 12 7 12 0 12 7 4 7 0 7 12 7 0 7 4 0 4 12 0 4 0 7 0 12 0 7 0 4 7 0 12 4 7 12 4 12 0 12 4 7 12 7 0 7 12 4 7 4 0 4 12 4 7 12 4 12 0 12 7 0 4 0 7 0 12 0 7 4 0 4 12 0 4 0 7 0 12 0 7 0 4 7 0 7 12 4 7 4 0 7 0 12 0 7 0 4 0 12 4 12 7 12 0 4 12 0 7 0 4 12 4 7 12 7 0 7 12 4 12 7 12 0 4 0 7 12 0 12 4 12 7 12 4 12 0 4 0 7 4 0 4 12 0 4 0 7 12 0 12 4 0 4 7 0 7 12 7 0 4 0 7 0 12 7 12 4 0 4 7 12 4 12 0 12 7 12 0 12 4 0 7 12 7 0 7 4 12 4 0 12 0 7 12 0

Alphabet {0, 4, 7, 12}

size 4 · diameter 12 · record length 306 · JSON

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

Know the exact maximum? Log in to claim this alphabet closed.

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