Additive Squares

Word of length 460 over {0, 2, 9, 13}

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

0100200300400050 position in word → partial sum

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

0 9 13 2 13 0 9 0 2 13 2 9 13 9 0 9 2 9 13 2 0 2 9 0 2 0 13 2 9 13 0 9 0 2 9 13 2 0 9 2 13 9 13 0 13 2 13 9 2 13 2 0 2 9 2 13 9 2 9 0 13 0 2 0 9 0 2 0 13 2 9 2 13 2 0 13 9 2 9 13 9 0 2 0 13 9 0 9 2 9 0 9 13 9 0 2 13 2 9 13 9 0 9 13 2 13 0 13 9 13 0 13 2 0 2 9 0 13 9 0 9 2 0 2 13 2 0 2 9 2 13 9 0 9 13 9 2 13 2 0 13 2 13 9 13 0 13 9 13 2 9 13 9 0 2 0 13 9 13 2 9 13 9 0 9 13 9 2 9 0 2 9 2 13 9 13 0 13 9 13 2 13 0 9 2 9 13 2 9 2 0 2 13 0 2 0 9 13 9 0 9 2 9 0 9 13 0 13 2 13 9 0 2 9 13 9 0 13 0 2 0 9 0 2 0 13 2 0 2 9 2 13 2 0 13 0 9 13 9 2 0 2 9 2 13 9 0 9 13 9 2 9 13 0 2 13 0 13 9 0 2 13 2 9 13 2 13 0 9 2 0 2 13 2 0 9 2 9 13 2 9 2 0 2 13 2 0 2 9 0 2 0 13 0 2 0 9 0 13 9 0 9 2 0 13 0 2 9 0 2 13 2 9 13 2 13 0 2 13 2 9 0 2 9 13 9 2 0 9 0 13 9 13 2 9 13 9 0 2 9 0 13 0 9 0 2 0 9 13 2 9 2 0 2 9 13 2 13 0 13 9 2 13 9 0 9 2 13 2 0 9 0 13 9 0 9 2 9 13 9 0 13 9 13 2 13 0 13 2 13 9 2 13 0 2 0 9 0 13 9 2 13 0 9 13 9 2 9 13 9 0 9 2 0 9 0 13 0 9 0 2 0 13 2 9 2 0 13 2 13 9 2 9 0 9 2 9 13 2 9 0 13 2 9 13 2 13 0 13 2 9 0 2 9 2 13 9 0 13 0

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Alphabet {0, 2, 9, 13}

size 4 · diameter 13 · record length 460 · JSON

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

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