Additive Squares

Word of length 434 over {0, 2, 9, 12}

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 2 0 9 0 2 0 12 0 2 0 9 2 0 2 12 2 0 2 9 2 12 9 0 9 2 0 2 12 0 2 0 9 0 12 9 2 9 0 12 0 2 12 0 12 9 0 12 0 2 9 0 9 12 9 0 9 2 9 0 12 2 0 9 0 12 2 12 0 9 12 2 9 12 9 0 9 12 9 2 9 0 2 0 12 2 9 2 12 2 0 12 9 12 0 2 0 12 0 9 2 9 12 0 9 0 2 0 12 0 2 0 9 2 9 12 2 9 2 0 2 12 2 0 2 9 0 2 0 12 0 2 0 9 0 12 9 2 9 0 2 0 12 2 0 2 9 12 2 12 0 12 9 12 0 12 2 0 9 0 2 0 12 0 2 9 0 9 12 9 2 9 0 2 0 12 2 0 2 9 0 2 0 12 2 12 9 12 0 9 12 9 2 9 12 9 0 9 2 0 9 0 12 0 9 0 2 9 2 12 9 0 12 0 2 12 0 12 9 12 2 12 9 12 0 9 2 0 2 12 2 0 9 2 9 12 9 0 9 12 9 2 12 9 12 0 12 9 12 2 12 0 2 12 2 9 12 9 0 9 12 2 12 9 12 0 9 0 2 0 12 9 12 0 12 2 0 2 9 2 0 2 12 0 2 9 0 12 9 0 9 2 9 0 9 12 9 2 12 2 0 2 12 9 12 0 12 9 2 9 12 9 0 2 0 9 0 12 9 12 2 12 0 12 9 0 2 0 12 2 0 2 9 0 9 12 0 9 0 2 0 12 0 2 0 9 2 0 2 12 2 9 2 0 9 0 12 0 2 0 9 0 12 9 2 12 9 0 12 0 2 12 0 12 9 12 2 12 9 12 0 9 12 2 0 9 2 9 12 2 12 0 12 9 0 2 0 9 0 12 0 9 2 0 2 12 2 9 2 0 9 0 12 9 12 2 9 12 9 0 12 9 12 2 9 2 0 9 0 12 9 2 9 12

Alphabet {0, 2, 9, 12}

size 4 · diameter 12 · record length 434 · 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

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

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