Additive Squares

Word of length 331 over {0, 3, 5, 11}

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 -5 (drift removed).

0 3 0 5 0 3 0 11 0 3 0 5 3 0 3 11 3 0 3 5 3 11 5 0 5 3 0 3 11 0 11 5 11 3 5 11 5 0 5 3 0 3 11 5 3 5 0 5 11 5 3 11 5 11 0 11 5 11 3 11 0 3 11 3 5 11 0 11 5 3 11 5 0 5 3 0 5 0 11 0 3 0 5 3 0 3 11 3 5 11 3 11 0 5 11 5 3 11 3 0 3 5 3 11 3 0 11 5 0 5 3 0 3 11 3 0 3 5 0 3 0 11 0 5 0 3 5 0 5 11 3 5 3 0 5 0 11 0 3 0 5 3 0 3 11 3 5 3 11 3 0 11 5 0 5 3 0 11 3 11 5 11 0 11 5 11 3 5 11 0 5 0 3 5 3 11 0 5 11 3 11 0 3 0 5 3 0 3 11 5 3 5 0 5 3 5 11 5 0 3 0 11 3 11 5 3 5 0 5 11 5 3 11 5 11 0 11 5 11 3 11 0 3 11 3 5 3 0 5 11 0 11 3 11 0 11 5 11 3 5 11 5 0 5 3 0 5 0 11 3 5 3 11 3 0 3 11 5 0 5 3 0 5 0 11 0 5 0 3 0 11 3 0 3 5 3 11 3 0 11 5 11 3 0 11 0 5 0 3 5 11 3 11 0 11 3 11 5 11 0 5 11 5 3 5 0 3 5 3 11 0 5 11 3 11 0 3 0 5 0 3 11 3 0 3 5 0 5 11 3 11

Alphabet {0, 3, 5, 11}

size 4 · diameter 11 · record length 331 · 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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