Additive Squares

Word of length 506 over {0, 1, 3, 14}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

01002003004005000100 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

0 1 0 3 0 1 0 14 0 1 0 3 1 0 1 14 1 3 1 0 3 0 14 0 1 0 14 0 3 14 0 1 14 1 3 1 0 3 0 14 0 1 3 14 3 1 3 0 3 1 3 14 1 0 1 14 3 14 1 14 3 0 3 14 1 3 0 1 0 14 0 1 3 14 3 0 14 3 14 1 14 0 14 1 14 3 1 0 3 0 14 0 1 0 3 1 14 1 0 14 1 14 3 1 0 3 0 14 3 14 1 3 0 3 1 3 14 1 0 1 14 3 1 14 0 1 0 3 0 1 0 14 0 1 3 1 14 0 1 14 3 14 0 3 14 3 1 14 0 1 0 3 0 1 0 14 0 3 14 0 14 1 14 0 14 3 14 1 3 14 3 0 14 1 14 0 14 3 14 0 1 14 1 3 1 14 0 3 0 1 3 0 14 3 14 1 14 3 14 0 14 3 1 3 0 1 3 1 14 3 0 3 1 0 1 14 1 0 1 3 1 14 0 14 1 14 3 14 1 14 0 1 3 1 14 0 14 3 0 3 1 0 14 1 3 0 1 0 14 0 1 0 3 0 14 3 0 3 1 14 0 14 3 14 1 0 1 14 3 1 3 0 1 0 14 0 1 3 0 3 14 3 1 3 0 1 3 1 14 1 0 1 3 0 1 0 14 0 1 0 3 1 3 14 3 1 0 1 3 1 0 14 0 3 0 1 0 3 0 14 3 14 1 14 0 1 0 3 0 1 0 14 1 0 1 3 14 1 14 0 14 1 14 3 14 0 1 0 3 1 3 14 3 1 0 3 0 14 0 1 0 14 0 3 14 3 1 14 1 0 14 1 14 3 14 0 14 3 14 1 3 14 3 0 3 1 3 0 3 14 0 1 14 0 14 3 1 0 1 3 1 14 3 0 1 0 14 1 14 3 14 0 14 1 0 14 0 3 1 3 14 1 3 1 0 1 14 1 0 1 3 0 1 0 14 0 3 14 1 14 0 1 0 3 1 3 14 3 1 3 0 1 3 1 14 1 0 1 3 0 1 0 14 0 1 0 3 1 3 14 1 0 3 0 14 0 1 0 14 0 3 14 1 14 0 3 14 3 1 3 0 1 14 1 0 1 3 0 3 14 0 1 0 14 0 1

Alphabet {0, 1, 3, 14}

size 4 · diameter 14 · record length 506 · JSON

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

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