Additive Squares

Word of length 352 over {0, 1, 3, 12}

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

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

0 1 0 3 0 1 0 12 0 1 0 3 1 0 1 12 1 3 1 0 3 0 12 0 1 0 12 0 3 12 0 1 12 1 3 1 0 3 0 12 0 1 3 12 3 1 3 12 0 12 1 3 12 1 0 1 3 0 1 0 12 3 12 0 1 12 1 3 12 1 12 0 12 3 12 0 12 1 0 3 0 12 1 12 3 1 3 0 3 12 3 1 12 3 12 0 12 3 12 1 12 0 1 12 1 3 12 0 12 3 12 1 12 3 0 12 0 1 12 0 3 1 3 12 3 0 12 0 1 0 3 0 1 0 12 1 0 3 1 3 12 3 0 12 0 1 0 12 3 12 0 12 1 3 1 12 0 1 0 3 1 3 12 3 0 3 1 3 12 1 0 1 3 0 1 0 12 0 3 0 1 3 1 12 1 3 1 0 3 1 3 12 0 1 0 3 1 3 12 3 1 3 0 3 12 0 3 0 1 12 3 1 12 1 0 3 0 1 0 12 1 12 3 12 0 12 1 12 3 1 3 0 3 12 0 3 0 1 0 12 0 1 0 3 1 12 1 3 0 3 1 3 0 12 0 3 1 0 1 12 0 12 3 12 1 3 1 0 12 1 12 3 12 0 12 3 12 1 3 12 3 0 3 1 3 0 3 12 0 1 12 0 3 12 1 3 12 3 0 12 1 12 0 12 3 0 3 1 0 1 12 1 3 0 3 1 3 0 12 0 1 0 3 0 1 0 12 1 12 3 1 12 1 0 12 1 12 3 0 3 1 3 12 0 1 0 3 1 3 12 0 3

Alphabet {0, 1, 3, 12}

size 4 · diameter 12 · record length 352 · 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

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

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