Additive Squares

Word of length 393 over {0, 5, 6, 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).

0 5 0 6 0 5 0 13 0 5 0 6 5 0 5 13 5 0 5 6 5 13 6 0 6 5 0 5 13 0 5 0 6 0 13 0 6 0 5 6 0 6 13 5 0 5 13 5 6 5 13 5 0 13 6 13 0 5 0 6 0 13 6 5 13 6 13 0 13 6 13 5 13 0 5 13 5 6 0 13 0 5 0 6 0 5 0 13 5 13 6 5 0 5 6 13 6 5 0 6 0 13 6 13 5 13 0 13 6 13 5 6 5 0 5 13 5 6 13 5 13 0 13 5 13 6 13 0 6 13 6 5 13 0 13 5 13 6 13 5 0 13 0 6 0 5 0 13 5 0 5 6 5 13 6 5 6 0 13 6 13 5 13 6 13 0 13 5 6 0 6 13 0 13 5 6 5 0 6 0 13 0 5 0 13 0 6 13 0 5 13 6 5 13 0 5 6 0 6 13 6 5 6 0 5 13 5 0 5 6 0 6 13 0 6 0 5 0 13 0 5 0 6 5 0 5 13 5 0 5 6 5 13 6 5 6 0 5 0 13 5 0 6 0 5 0 13 5 13 6 13 0 13 6 13 5 6 5 0 6 0 13 6 13 5 13 0 13 6 0 13 0 5 0 6 0 5 0 13 5 6 0 13 5 0 13 0 6 5 6 0 6 5 13 5 6 5 13 0 13 5 6 13 6 0 6 5 0 6 0 13 0 5 13 6 13 5 13 0 13 5 6 13 6 0 13 6 13 5 13 0 13 5 13 6 5 13 5 0 5 13 5 6 5 0 6 0 13 6 13 5 0 5 6 13 5 13 0 13 6 13 0 13 5 0 6 0 5 0 13 5 13 6 5 0 5 6 13 5 6 0 6 13 0 6 0 5 13 6 5 6 0 6

Alphabet {0, 5, 6, 13}

size 4 · diameter 13 · record length 393 · 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

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

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