Additive Squares

Word of length 400 over {0, 3, 7, 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).

3 0 7 13 3 0 7 3 0 3 13 7 13 0 13 7 3 7 13 7 0 13 0 3 0 7 0 3 0 13 3 0 3 7 3 13 3 0 13 3 13 7 13 0 7 13 7 3 13 3 0 7 3 7 13 7 0 7 13 7 3 13 7 13 0 13 3 0 7 0 3 0 13 3 7 0 7 13 0 7 0 3 0 13 0 3 0 7 3 0 3 13 3 0 3 7 3 13 7 0 13 3 13 7 3 7 0 7 3 13 3 0 3 7 0 13 0 7 0 3 7 13 7 3 7 0 7 3 13 7 13 0 13 3 7 3 13 3 0 3 13 3 7 13 0 13 7 13 3 7 13 0 3 7 3 13 7 13 0 13 7 13 3 7 13 7 0 7 3 7 0 7 13 0 3 0 13 7 13 3 0 3 7 0 7 13 7 3 13 7 13 0 13 3 13 7 3 13 3 0 7 0 13 0 3 0 13 0 7 13 7 3 7 0 3 0 13 0 3 0 7 3 0 3 13 3 7 13 3 13 0 7 0 3 0 13 7 13 3 7 13 7 0 7 3 7 0 7 13 0 7 0 3 0 13 0 3 0 7 3 7 13 0 13 3 0 3 7 3 0 3 13 0 3 0 7 0 13 0 7 0 3 7 13 0 13 7 13 3 7 13 0 3 0 13 0 7 0 13 3 0 3 7 3 0 13 3 13 7 13 3 13 0 13 7 0 3 7 13 0 13 7 13 3 13 7 13 0 7 0 3 7 0 7 13 7 3 13 3 0 3 7 0 3 0 13 3 13 7 13 0 7 3 0 13 0 7 13 7 3 7 0 7 13 0 7 0 3 0 13 0 3 0 7 3 0 3 13 3 0 3 7 3 13 7 13 0 13 3 13 7 13 0 7 0 3 7 0 13 7

Alphabet {0, 3, 7, 13}

size 4 · diameter 13 · record length 400 · 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

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

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