Additive Squares

Word of length 492 over {0, 1, 4, 14}

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

01002003004000100200 position in word → partial sum

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

0 1 0 4 0 1 0 14 0 1 0 4 1 0 1 14 1 0 1 4 1 14 4 0 4 1 0 1 14 0 1 0 4 0 14 0 4 0 1 4 0 14 1 4 14 1 14 0 1 14 4 0 1 4 0 4 14 4 0 4 1 0 1 14 1 4 1 0 4 1 4 14 0 4 0 1 0 14 0 1 0 4 1 0 1 14 1 4 1 0 4 1 4 14 4 1 4 0 1 0 14 1 0 4 14 4 1 14 4 14 0 14 1 14 0 14 4 0 1 0 4 0 14 0 4 1 14 1 0 1 4 0 14 0 4 1 4 14 0 14 4 1 14 1 0 1 4 1 0 1 14 0 4 0 1 14 0 14 4 14 0 14 1 14 4 1 14 1 0 4 0 14 1 0 1 4 1 14 1 0 1 4 0 4 14 4 1 14 4 14 0 14 1 14 4 1 0 4 14 4 0 1 0 14 0 4 14 1 14 4 14 0 14 4 1 14 1 0 14 1 14 4 14 0 14 4 14 1 4 14 4 0 1 4 1 14 4 14 0 4 0 1 4 1 14 1 0 1 14 1 4 14 1 14 0 14 4 14 1 4 0 1 14 1 4 14 4 0 4 1 0 4 0 14 0 1 0 4 1 0 1 14 4 14 0 1 0 4 1 0 1 14 1 4 1 14 1 0 14 4 0 14 1 14 0 4 14 4 1 14 4 14 0 14 1 14 0 14 4 0 14 0 1 4 0 4 14 4 1 4 0 1 14 0 4 0 1 4 1 14 1 0 14 1 14 4 14 0 14 1 0 1 4 14 1 4 0 4 14 0 4 0 1 0 14 1 0 1 4 1 0 1 14 1 4 14 0 14 1 4 1 0 1 4 14 4 1 4 0 1 0 14 4 0 1 4 1 14 1 0 1 4 0 1 0 14 0 1 0 4 0 14 4 0 4 1 0 1 14 1 0 4 1 4 14 4 0 4 1 0 1 14 1 0 4 0 14 0 1 14 4 14 1 14 0 14 1 4 0 1 4 1 14 1 4 1 0 1 14 0 1 0 4 1 4 14 4 1 4 0 4 14 0 1 0 14 4 14 1 0 1 4 0 1 0 14 1 4 1 0 4 0

Alphabet {0, 1, 4, 14}

size 4 · diameter 14 · record length 492 · JSON

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

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