Additive Squares

Word of length 413 over {0, 1, 3, 13}

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 13 0 1 0 3 1 0 1 13 1 3 1 0 3 0 13 0 1 0 13 0 3 13 0 1 13 1 3 1 0 3 0 13 0 1 3 13 3 1 3 0 3 1 13 0 13 3 13 1 13 3 13 0 3 1 3 13 1 13 0 1 0 3 0 1 13 0 13 3 0 13 0 1 3 1 13 0 1 3 0 3 13 3 1 3 0 1 3 1 13 1 0 1 3 0 1 0 13 0 1 0 3 0 13 3 1 3 0 1 3 1 13 3 0 13 1 0 13 0 3 1 3 0 13 3 13 1 13 3 0 3 1 3 13 3 1 3 0 1 0 13 3 0 1 3 1 13 1 0 3 1 0 13 0 1 3 0 3 13 0 13 1 3 0 1 3 1 13 0 3 1 13 3 13 0 13 3 13 1 13 0 1 13 1 3 1 0 3 0 13 0 1 13 0 13 3 13 0 13 1 13 3 1 13 1 0 13 3 13 0 13 1 13 0 3 13 3 1 3 13 3 0 3 13 1 0 1 3 0 3 13 3 0 1 0 13 1 0 1 3 1 13 1 0 13 1 13 3 13 0 3 0 1 3 0 13 3 1 13 3 13 0 13 3 13 1 13 0 1 13 1 3 0 1 0 13 0 3 13 0 13 1 0 1 3 0 1 0 13 1 0 1 3 0 3 13 3 0 3 1 0 3 13 1 0 13 1 13 3 13 1 0 13 0 3 0 13 0 1 0 3 1 3 13 3 0 1 13 0 1 0 3 1 3 13 3 1 3 0 1 3 1 13 1 0 1 3 0 1 0 13 0 1 0 3 1 3 13 3 0 1 0 3 0 13 3 13 1 13 0 1 0 3 0 1 0 13 1 0 3 1 3 13 1 3 1 0 13 1 13 3 13 1 13 0 13 3 0 1 0 13 0 3 0 13 0

Alphabet {0, 1, 3, 13}

size 4 · diameter 13 · record length 413 · 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

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

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