Additive Squares

Word of length 349 over {0, 4, 9, 14}

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

0100200300050100150 position in word → partial sum

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

14 9 0 9 14 9 0 4 14 0 4 0 9 14 9 0 9 14 4 14 9 14 4 0 4 9 0 4 0 14 0 4 0 9 0 14 9 4 14 0 9 0 14 0 4 0 14 0 9 14 9 4 14 9 14 0 9 14 9 4 14 4 0 4 9 0 14 9 0 4 9 14 4 14 0 14 9 0 14 0 4 0 9 0 4 0 14 4 0 4 9 4 0 4 14 4 9 14 0 9 4 0 4 14 0 4 0 9 14 0 14 4 14 9 4 9 0 4 9 4 14 9 4 9 0 14 9 14 4 14 9 14 0 14 9 4 0 4 14 0 14 9 14 0 14 4 0 14 0 9 0 4 9 4 14 9 0 4 14 0 14 9 14 0 4 14 4 9 4 14 4 0 4 9 14 9 0 4 0 14 4 0 4 9 0 14 0 9 0 4 9 14 4 14 0 14 9 14 0 14 4 0 14 0 9 0 14 0 4 0 9 4 0 4 14 0 9 0 14 4 0 14 9 14 4 9 4 0 9 0 14 0 4 0 9 4 0 4 14 4 0 4 9 4 14 9 4 9 0 14 4 0 9 0 14 4 14 0 9 14 4 9 4 0 4 14 0 4 0 9 0 14 0 9 0 4 9 14 0 4 14 0 14 9 14 0 14 4 14 9 4 14 4 0 9 0 14 4 14 9 4 14 4 0 4 9 4 0 4 14 0 9 0 4 14 4 9 14 4 0 9 14 0 9 0 4 0 9 0 14 9 14 4 14 9 14 0 14 4 0 4 9 4 0 4 14 4 0 4

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Alphabet {0, 4, 9, 14}

size 4 · diameter 14 · record length 349 · JSON

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

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