Additive Squares

Word of length 310 over {0, 3, 4, 11}

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 3 0 4 0 3 0 11 0 3 0 4 3 0 3 11 3 0 3 4 3 11 4 0 4 11 3 4 11 0 11 3 0 3 4 0 3 0 11 0 4 0 11 0 3 11 0 4 3 4 11 4 0 4 11 4 3 11 3 0 11 3 11 4 11 0 11 4 11 3 4 11 4 0 4 3 4 0 4 11 0 3 0 11 0 4 11 4 3 11 3 0 4 3 4 11 3 4 3 0 11 0 4 0 3 4 3 11 3 0 3 4 0 3 0 11 0 4 0 3 4 0 4 11 4 3 4 0 3 11 3 0 3 4 0 11 3 4 0 4 11 0 11 3 4 11 0 3 0 4 0 11 0 4 0 3 4 11 4 0 11 4 11 3 11 0 11 4 0 3 4 0 4 11 0 11 3 0 3 4 3 11 0 11 3 11 4 3 4 0 4 11 4 3 11 4 11 0 11 4 11 3 11 0 3 11 3 4 11 0 4 11 4 3 11 3 0 3 4 0 3 0 11 0 4 0 3 4 11 3 11 0 11 4 11 3 4 11 4 0 4 3 0 4 0 11 3 4 11 4 0 11 0 3 0 4 0 3 0 11 3 0 3 4 3 11 3 0 11 0 4 0 3 0 4 0 11 4 3 11 4 11 0 3 0 4 0 11 4 11 3 11 0 11 3 11 4 3 11 3 0 4 11 4 3 11 3 0 3 11

Alphabet {0, 3, 4, 11}

size 4 · diameter 11 · record length 310 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

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Record history

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

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