Additive Squares

Word of length 478 over {0, 2, 10, 13}

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

0100200300400050100150 position in word → partial sum

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

13 10 2 10 0 13 2 0 10 0 13 2 13 10 13 0 10 2 10 0 10 13 10 0 2 13 0 2 0 10 0 2 0 13 0 10 13 0 13 2 0 2 10 2 0 13 10 13 0 13 2 13 0 10 13 10 2 10 0 13 0 10 2 0 2 13 2 0 2 10 2 13 10 13 0 10 13 10 2 10 0 2 0 13 0 10 2 13 10 0 13 10 13 2 13 10 13 0 13 2 0 13 0 10 13 10 2 10 13 0 10 0 2 0 13 2 0 2 10 2 13 2 0 13 2 13 10 13 0 10 2 0 2 13 0 13 10 13 0 13 2 0 13 0 10 0 2 0 10 0 13 10 2 0 2 10 2 13 0 13 2 10 13 0 10 0 2 0 13 0 2 0 10 2 0 2 13 2 0 2 10 2 13 10 0 10 13 2 13 0 10 0 2 10 0 10 13 2 0 13 0 10 0 13 0 2 0 10 2 0 2 13 10 0 10 2 10 13 0 13 2 0 13 0 10 13 2 13 10 13 0 13 10 2 13 2 0 2 10 13 2 10 0 10 2 13 10 13 0 10 13 2 0 2 10 0 2 0 13 0 10 0 13 0 2 13 10 13 0 10 13 10 2 13 10 13 0 10 0 2 13 0 13 10 13 2 10 2 0 2 10 13 2 13 0 13 2 13 10 13 0 2 10 2 13 10 13 0 13 10 13 2 10 13 10 0 10 2 10 13 2 10 2 0 2 10 2 13 10 13 0 10 13 10 2 13 10 13 0 2 13 2 10 13 10 0 13 0 2 0 10 2 13 2 0 10 2 10 13 10 0 13 10 13 2 10 0 2 10 2 13 2 10 2 0 2 13 0 2 0 10 2 13 10 13 0 10 2 0 2 13 0 2 0 10 0 13 0 10 0 2 10 0 13 2 10 13 10 0 13 0 2 0 10 2 13 2 10 0 10 13 10 2 13 0 2 10 2 13 10 13 0 13 10 13 2 13 10 0 2 10 2 13 2 10 0 2 0 13 0 10 0 2 0 13 2 13 10 13 2 0 13 0 10 0 2 0 10 0 13 10 0 2 10 2 13 10 13

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Alphabet {0, 2, 10, 13}

size 4 · diameter 13 · record length 478 · JSON

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

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