Additive Squares

Word of length 439 over {0, 3, 9, 13}

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

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

0 3 0 9 0 3 0 13 0 3 0 9 3 0 3 13 3 9 3 0 9 0 13 0 3 0 13 0 9 13 0 3 13 3 9 3 0 9 0 13 0 3 9 13 9 3 9 0 9 3 13 0 13 9 13 3 0 3 13 3 9 0 9 13 3 13 0 13 9 13 0 13 3 0 9 0 13 3 13 9 3 13 0 9 0 3 9 0 9 13 9 3 9 13 9 0 13 9 13 3 13 9 13 0 13 3 0 13 0 9 13 3 9 13 9 0 9 13 9 3 13 3 0 3 13 9 0 13 0 3 0 13 0 9 0 3 9 0 9 13 0 3 13 9 3 9 0 9 13 9 3 13 9 13 0 13 9 13 3 13 0 3 13 3 9 0 3 0 13 0 9 13 9 3 9 13 0 9 0 3 0 13 0 3 0 9 3 0 3 13 9 3 9 0 9 3 9 13 9 0 13 0 3 9 0 13 9 13 3 13 0 3 0 9 0 13 0 3 0 9 3 13 9 3 9 0 3 0 13 0 3 0 9 3 0 3 13 3 9 3 0 9 3 9 13 9 0 9 3 0 9 0 13 3 0 3 9 3 0 3 13 3 9 0 13 0 3 13 3 9 0 9 13 0 9 0 3 9 13 9 3 9 0 3 13 9 0 13 9 13 3 13 9 13 0 13 3 0 13 0 9 13 3 9 0 3 0 13 0 9 0 3 9 0 9 13 9 0 9 3 9 13 3 0 13 0 9 0 13 3 13 9 13 3 0 3 13 9 3 9 0 9 13 9 3 13 9 13 0 13 9 13 3 13 0 3 13 3 9 13 0 13 9 13 3 9 3 0 9 3 9 13 3 9 3 0 9 0 13 0 3 0 9 0 13 9 13 3 13 9 13 0 13 3 9 3 13 3 0 13 0 9 0 3 0 13 3 0 3 9 3 0 3 13 3 9 13 0 9 3 9 13 3 13 0 13 3 9 3 13 3 0 9 0 3 0 9 13 3

Alphabet {0, 3, 9, 13}

size 4 · diameter 13 · record length 439 · 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.

Record history

• 439 (first) — Aayush Rajasekaran, 2026-08-20

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