Additive Squares

Word of length 516 over {0, 1, 5, 14}

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

0100200300400500050 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

14 1 0 5 14 1 14 5 14 1 0 5 0 14 0 5 1 14 1 5 1 0 1 5 14 0 5 0 1 0 5 14 0 14 1 14 5 0 5 14 1 5 0 1 0 14 1 5 14 0 1 14 1 5 1 14 1 0 1 5 14 0 14 1 14 5 0 5 14 1 5 0 14 0 1 0 5 14 1 14 0 14 5 14 0 14 1 0 5 14 0 1 14 1 5 1 0 1 14 0 1 0 5 0 14 0 5 0 1 5 14 5 0 1 0 14 1 0 1 5 1 0 1 14 1 5 14 1 14 0 5 0 1 0 14 0 1 0 5 1 14 5 1 5 0 14 0 1 14 0 14 5 14 0 14 1 14 5 1 14 1 0 5 1 0 14 0 5 0 1 5 14 1 5 1 0 1 5 1 14 1 0 14 1 14 5 0 5 1 14 5 14 0 14 5 14 1 14 0 1 14 1 5 14 0 14 5 14 1 14 5 0 14 0 1 0 14 0 5 0 14 1 14 5 0 14 5 1 5 0 1 5 1 14 5 0 14 0 1 0 14 5 14 1 14 0 14 1 14 5 1 5 0 14 5 1 14 1 0 1 14 1 5 1 0 5 14 5 1 0 5 0 14 5 14 1 5 0 1 14 0 1 0 5 0 1 0 14 0 5 14 0 14 1 14 5 14 0 5 1 0 14 1 14 5 1 14 1 0 1 5 0 1 0 14 0 1 0 5 0 14 5 1 5 0 1 0 14 0 1 0 5 1 0 1 14 1 5 1 0 5 1 5 14 5 1 5 0 1 0 14 1 5 14 0 14 5 1 5 14 0 5 0 1 0 5 0 14 0 1 14 1 5 14 0 14 5 14 1 5 1 0 5 0 14 5 1 5 0 1 5 1 14 1 0 14 1 14 5 14 1 14 0 1 0 5 1 0 14 1 14 5 14 0 14 5 14 1 5 14 5 0 1 0 14 0 5 0 14 0 1 14 5 14 1 14 0 1 5 0 5 14 5 0 1 5 1 14 1 5 0 5 14 0 5 0 1 0 14 0 1 0 5 1 0 1 14 1 0 1 5 1 14 5 1 5 0 14 0 1 14 1 5 0 14 5 1 14 5 14 0 14 5 14 1 14 0 1 0 5 0 1 0 14 0 5 14 0 14 1 14 5 1 14 1 0

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Alphabet {0, 1, 5, 14}

size 4 · diameter 14 · record length 516 · JSON

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

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