Additive Squares

Word of length 503 over {0, 1, 11, 13}

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

01002003004005000100200 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

11 1 13 0 11 1 13 11 13 0 13 11 13 1 13 0 11 1 11 13 11 0 1 13 0 1 0 11 1 13 1 11 0 11 1 11 13 0 13 1 11 13 11 0 11 1 11 0 11 13 0 11 0 1 13 1 11 1 0 11 0 13 0 1 0 11 1 0 1 13 1 11 13 1 13 0 13 11 0 11 1 0 1 13 11 1 11 0 11 13 0 11 0 1 11 13 1 13 0 13 1 11 13 11 0 13 11 13 1 13 0 13 1 13 11 1 13 0 1 0 11 1 0 13 11 13 0 13 1 13 0 11 13 11 1 11 0 13 11 0 1 0 11 13 0 13 1 13 0 11 0 1 11 1 13 1 0 1 11 0 1 0 13 0 11 0 1 11 0 11 13 11 0 11 1 0 1 13 11 0 11 13 11 1 13 0 13 1 13 11 1 11 0 1 13 1 0 1 11 0 13 0 11 1 11 13 0 13 1 13 0 11 1 0 11 0 13 0 11 0 1 0 13 1 0 1 11 1 0 1 13 0 13 11 1 0 13 1 0 1 11 1 0 13 1 13 11 13 1 13 0 13 11 1 11 0 1 0 13 0 1 0 11 0 13 11 0 11 1 13 1 0 13 1 11 13 0 11 13 11 1 11 13 11 0 11 1 0 11 0 13 1 11 1 13 1 0 13 11 1 0 11 0 13 0 11 0 1 0 13 1 0 1 11 1 13 1 0 13 1 13 11 13 0 11 1 0 13 0 11 1 11 13 1 11 0 13 0 1 13 0 13 11 13 1 13 11 13 0 11 13 11 1 0 1 13 1 11 13 11 0 11 1 11 0 11 13 0 13 1 13 11 13 0 13 1 0 1 11 1 0 1 13 1 11 0 11 13 0 11 0 1 11 13 11 1 0 1 11 1 13 0 13 11 13 1 11 1 0 11 1 11 13 11 0 11 13 11 1 13 11 13 0 13 11 13 1 13 0 1 11 1 13 11 13 0 11 13 11 1 11 0 1 11 1 13 1 0 1 13 1 11 13 11 0 1 13 1 11 13 1 13 0 13 1 13 11 13 0 11 13 11 1 13 1 0 11 1 11 13 11 0 11 13 11 1 13 11 13 0 13 11 13 1 13 0 1 0 11 1 0 13 0

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Alphabet {0, 1, 11, 13}

size 4 · diameter 13 · record length 503 · JSON

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

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