Additive Squares

Word of length 442 over {0, 3, 5, 14}

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

01002003004000100 position in word → partial sum

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

0 3 0 5 0 3 0 14 0 3 0 5 3 0 3 14 3 0 3 5 3 14 5 0 5 3 0 3 14 0 3 0 5 0 14 5 0 5 3 0 3 14 5 14 3 0 14 0 5 0 14 0 3 0 14 5 14 3 14 0 14 3 14 5 3 5 0 3 0 14 0 3 0 5 0 14 5 0 5 3 0 14 3 5 14 5 0 14 5 14 3 14 0 3 14 3 5 3 0 5 3 5 14 5 0 14 5 14 3 14 5 14 0 5 0 3 14 0 14 5 14 3 14 5 14 0 5 14 5 3 5 14 5 0 5 3 0 14 3 5 14 5 0 14 5 14 3 0 14 0 5 0 3 5 0 5 14 3 5 3 0 3 14 3 5 14 0 14 5 14 3 14 5 0 14 0 3 0 14 5 14 3 14 5 0 5 3 0 3 14 3 0 3 5 0 3 0 14 0 5 0 3 5 0 5 14 3 5 3 0 3 14 3 5 14 0 14 3 5 14 5 0 14 0 3 0 5 3 5 14 5 0 5 3 0 5 0 14 0 3 0 5 3 5 14 3 0 3 5 0 3 0 14 0 5 0 3 5 0 5 14 5 3 14 3 0 14 0 5 0 14 0 3 0 5 3 0 3 14 0 5 0 14 0 3 14 3 5 14 0 14 5 14 3 5 3 0 5 14 5 0 3 0 14 0 5 14 3 5 14 5 0 14 0 3 14 0 14 5 14 3 14 5 14 0 5 14 3 5 3 0 3 14 5 14 0 5 14 5 3 14 5 14 0 5 0 3 5 0 5 14 0 5 0 3 5 3 14 3 0 3 5 0 3 0 14 0 3 0 5 0 14 5 0 5 3 0 14 3 14 5 14 0 14 3 0 5 0 3 0 14 3 14 5 3 0 5 3 5 14 3 14 0 14 5 0 5 3 14 5 14 0 14 3 14 5 14 0 5 0 3 0 14 0 5 14 3 14 5 0 5 14 5 0 3 0 5 0 14 5 0 5

Alphabet {0, 3, 5, 14}

size 4 · diameter 14 · record length 442 · JSON

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

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