Additive Squares

Word of length 401 over {0, 3, 9, 14}

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

01002003004000100200 position in word → partial sum

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

9 14 3 0 14 0 9 14 3 0 3 9 0 3 14 9 14 0 9 14 9 3 9 14 9 0 14 0 3 0 9 0 14 9 3 9 0 3 9 3 14 9 3 9 0 14 0 9 3 0 9 14 9 3 14 9 14 0 14 9 14 3 14 0 3 0 9 3 0 14 3 14 9 3 9 0 9 3 9 14 9 0 14 0 3 0 9 0 3 0 14 3 0 9 3 14 9 14 0 9 0 3 9 0 14 9 14 3 14 0 14 9 0 14 0 3 0 14 0 9 0 3 9 14 3 9 0 3 0 14 0 3 0 9 0 3 14 3 9 3 0 3 9 3 14 9 14 0 14 3 0 3 9 0 3 0 14 9 0 9 3 9 0 9 14 9 3 14 9 14 0 3 14 3 9 3 14 3 0 3 9 0 9 14 9 0 3 0 14 3 0 3 9 0 3 0 14 3 14 9 14 0 3 0 14 0 9 14 9 3 14 9 14 0 9 14 9 3 0 3 14 3 9 14 9 0 9 3 9 0 9 14 0 9 3 0 14 9 14 0 14 3 9 3 14 0 3 9 0 9 14 9 3 14 9 14 0 14 9 14 3 14 0 3 14 3 9 14 9 0 14 0 3 0 14 0 9 14 0 3 9 3 14 9 14 0 14 9 3 9 0 9 14 9 0 9 3 0 3 14 3 0 9 3 9 14 3 14 0 14 9 14 0 14 3 0 3 9 0 14 0 9 0 3 9 3 14 3 9 0 3 0 14 0 3 0 9 0 3 14 3 9 0 9 14 0 9 0 3 9 14 9 3 9 0 3 14 3 0 9 0 3 0 14 9 14 0 3 14 3 9 14 9 0 9 14 3 9 3 0 9 3 9 14 0 9 14 3 14 0 14 9 0 3 9 0 14 0 9 0 3

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Alphabet {0, 3, 9, 14}

size 4 · diameter 14 · record length 401 · JSON

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

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