Additive Squares

Word of length 574 over {0, 1, 11, 14}

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

01002003004005000100200 position in word → partial sum

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

11 1 14 0 11 1 11 0 11 1 14 0 14 11 0 14 1 11 0 1 11 1 14 1 11 1 0 1 14 0 1 0 11 1 14 1 11 0 11 14 1 14 0 14 11 14 0 14 1 0 11 0 1 14 0 1 11 0 11 14 11 0 1 11 1 14 1 0 1 11 0 14 11 1 14 11 14 0 14 11 14 1 14 0 1 0 11 14 11 0 11 1 11 0 11 14 0 1 0 14 0 11 14 11 1 11 14 0 14 1 14 0 11 0 14 0 1 14 1 11 1 0 11 0 14 11 1 11 0 1 11 1 14 1 0 1 11 0 11 14 1 0 14 1 14 11 14 1 0 14 0 11 0 14 1 0 1 11 0 11 14 0 1 14 1 11 1 0 1 14 0 1 0 11 0 1 0 14 1 14 11 0 1 0 11 0 14 0 11 1 0 11 14 11 1 11 0 1 14 1 0 11 1 0 14 1 14 11 1 14 1 0 11 0 14 1 14 0 11 14 11 1 11 14 0 11 0 1 0 14 0 11 14 1 11 1 0 1 14 0 1 0 11 0 14 0 1 14 11 14 0 11 0 1 0 11 0 14 11 0 11 1 11 14 11 0 14 11 14 1 0 1 11 1 14 11 14 0 14 11 1 11 14 11 0 14 0 1 14 0 11 0 14 0 1 14 1 11 0 1 0 14 1 0 1 11 14 11 1 11 0 14 0 1 14 0 14 11 14 1 11 14 11 0 11 1 11 14 1 11 1 0 1 14 0 11 14 11 1 14 1 0 14 1 14 11 14 0 14 11 14 1 11 14 11 0 11 1 11 14 1 0 14 11 0 14 0 1 14 11 14 1 14 0 1 11 14 11 0 11 1 0 1 14 0 1 11 0 11 14 11 1 11 14 11 0 14 11 1 14 0 1 14 1 11 1 14 1 0 1 11 0 1 0 14 0 11 0 1 11 1 14 1 11 0 11 1 11 14 0 14 11 1 14 1 0 14 0 11 0 1 0 11 0 14 11 0 11 1 11 14 11 0 14 11 14 1 14 11 14 0 14 1 0 11 0 14 11 0 11 1 0 1 14 11 14 0 11 14 1 11 1 0 1 14 1 0 1 11 0 11 14 0 11 0 1 0 14 0 1 0 11 1 11 14 0 14 1 0 1 11 1 0 1 14 1 11 14 1 14 0 1 0 11 0 1 0 14 0 1 11 14 11 1 11 0 14 1 14 11 14 0 14 11 14 1 11 0 1 11 1 14 1 11 1 0 1 14 0 1 0 11 14 1 14 0 14 11 1 11 0 1 11 14

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Alphabet {0, 1, 11, 14}

size 4 · diameter 14 · record length 574 · JSON

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

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