Additive Squares

Word of length 334 over {0, 4, 8, 13}

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

0100200300050100 position in word → partial sum

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

0 4 0 8 0 4 0 13 0 4 0 8 4 0 4 13 8 0 8 4 0 8 13 0 13 4 0 8 4 8 13 4 8 4 0 13 4 13 8 13 0 13 4 0 4 8 0 4 0 13 0 8 0 13 0 4 13 0 13 8 13 4 13 8 13 0 8 13 8 4 0 4 13 8 13 0 8 13 8 4 8 0 8 4 8 13 4 8 0 4 0 13 0 8 0 13 0 4 13 8 13 4 13 0 4 8 0 8 13 8 4 0 4 13 8 4 0 13 0 4 0 8 0 4 0 13 4 8 4 0 8 4 8 13 8 4 8 0 4 0 13 0 8 13 0 13 4 8 0 4 8 4 13 0 13 8 13 4 8 4 0 8 4 8 13 8 0 8 13 8 4 13 8 13 0 13 8 13 4 13 0 4 13 4 8 0 4 0 13 4 13 8 13 0 8 13 8 4 8 13 8 0 8 4 0 8 0 13 8 4 13 0 4 0 8 0 4 0 13 0 8 13 0 13 4 8 4 0 13 0 8 13 0 13 4 13 0 13 8 13 4 8 13 8 0 13 0 4 13 4 8 4 0 4 8 4 13 8 0 8 4 13 4 0 13 4 13 8 13 0 13 8 13 4 8 13 8 0 8 13 8 4 8 0 4 8 4 13 8 13 0 13 4 8 13 4 0 4 8 13 8 0 4 8 0 13 0 4 13 0 13 8 13 0 13 4 13 8 4 0 8 4 13 8 13 0 8 13 8 4 8 0 4 13

Alphabet {0, 4, 8, 13}

size 4 · diameter 13 · record length 334 · 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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