Additive Squares

Word of length 401 over {0, 1, 5, 13}

by Aayush Rajasekaran, 2026-08-26 · the current record for this alphabet · JSON

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

1 0 5 13 5 1 13 5 13 0 1 0 5 13 0 13 1 13 0 13 5 13 0 1 5 1 13 5 13 0 13 5 1 5 0 1 5 1 13 0 13 5 0 13 0 1 5 0 1 13 1 0 5 1 5 13 1 13 0 5 1 0 13 1 0 1 5 1 0 1 13 1 5 13 1 13 0 13 1 13 5 1 5 0 5 1 13 0 1 0 5 0 1 13 0 13 5 0 13 0 1 0 5 0 1 0 13 1 0 1 5 1 0 1 13 1 5 13 5 0 1 0 5 0 13 0 5 0 1 5 13 5 1 5 0 1 13 5 13 1 13 0 1 13 5 0 1 5 1 13 1 5 1 0 1 13 0 1 0 5 1 13 1 5 0 5 13 0 5 1 13 0 1 13 1 5 13 0 13 5 13 1 13 5 0 13 0 1 0 13 5 0 5 1 0 1 13 0 1 0 5 13 0 13 1 13 5 1 5 0 1 5 1 13 5 1 5 0 13 5 13 1 13 5 13 0 13 5 1 0 1 13 1 5 13 0 13 5 13 1 13 5 0 13 0 1 0 5 0 13 5 13 1 13 5 0 13 5 13 1 5 1 0 1 13 5 13 1 13 0 1 5 0 1 0 13 0 1 0 5 0 13 5 0 5 1 0 1 13 1 0 1 5 0 1 0 13 5 0 5 1 5 13 5 0 5 1 0 1 13 1 5 1 0 5 1 5 13 5 0 5 13 5 1 13 0 5 13 1 5 1 0 5 0 13 0 1 13 0 13 5 13 1 13 5 13 0 5 13 5 1 5 0 1 5 1 13 0 13 5 1 13 0 1 0 5 0 1 0 13 0 5 13 0 13 1 13 5 1 0 1 5 13 5 0 13 0 1 0 5 1 0 1 13 1 5 1 0 5 13 5

← previous record (400)

Alphabet {0, 1, 5, 13}

size 4 · diameter 13 · record length 401 · 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

• 401 (was 400) — Aayush Rajasekaran, 2026-08-26
• 400 (first) — Aayush Rajasekaran, 2026-08-20

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