Additive Squares

Word of length 398 over {0, 2, 7, 13}

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 2 13 7 13 2 0 13 0 7 13 7 2 13 0 13 2 7 2 0 2 13 0 7 13 2 13 0 2 0 7 0 2 0 13 0 7 2 7 0 7 13 2 13 7 13 0 2 0 7 0 2 13 2 7 2 13 0 13 2 13 7 2 7 0 7 13 7 2 13 7 13 0 13 2 13 0 13 7 0 13 2 7 2 13 2 0 7 13 2 0 13 0 7 13 7 2 7 13 0 7 0 2 0 7 13 0 13 2 13 0 7 0 2 7 2 13 2 0 2 7 0 2 0 13 0 2 0 7 2 7 13 0 2 0 7 0 13 0 7 0 2 7 13 7 0 13 7 13 2 7 0 2 0 13 0 7 13 2 7 0 13 7 2 13 2 0 2 7 0 2 0 13 0 7 13 0 13 2 0 7 0 2 13 2 7 13 7 0 13 7 13 2 13 0 2 13 2 7 2 0 2 13 0 7 13 0 2 13 7 2 7 0 7 13 7 2 13 7 13 0 13 7 13 2 7 2 0 13 2 13 7 13 2 13 0 13 7 2 0 7 0 13 7 2 13 7 13 0 13 7 13 2 13 0 2 13 2 7 2 0 2 13 0 2 0 7 0 13 7 2 7 13 0 7 13 2 7 2 0 2 13 2 0 2 7 0 2 0 13 0 7 0 2 7 2 13 0 2 7 0 7 13 7 2 7 13 7 0 13 2 7 2 13 2 0 13 0 7 2 7 13 7 0 13 2 13 0 13 7 13 0 2 13 2 7 13 2 13 0 13 7 13 0 13 2 0 13 0 7 0 2 0 13 2 13 7 2 7 0 7 2 7 13 7 0 2 13 0 13 7 13 0 13 2 13 7 2 13 2 0 2 7 2 13 7 0 7 2 0 2 13 2 7 2 0 2 13

Alphabet {0, 2, 7, 13}

size 4 · diameter 13 · record length 398 · 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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