Additive Squares

Word of length 431 over {0, 1, 9, 11}

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

0100200300400050100 position in word → partial sum

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

9 1 0 9 1 11 0 11 1 11 9 11 1 11 0 1 0 9 11 0 11 1 0 11 0 9 1 9 11 9 0 9 11 9 1 11 0 1 11 1 9 0 9 11 9 1 11 1 0 1 9 1 0 1 11 0 9 0 1 9 0 9 11 0 9 0 1 11 1 9 1 11 0 9 11 9 1 9 11 9 0 9 1 0 9 0 11 1 9 11 1 11 0 11 1 11 9 11 0 9 11 9 1 9 11 9 0 11 0 1 11 9 0 9 11 9 1 9 11 0 9 0 1 0 9 0 11 0 9 1 11 9 11 0 11 9 1 11 1 0 1 9 0 1 0 11 0 9 0 1 9 0 9 11 9 1 9 11 9 0 11 1 9 1 11 1 0 9 0 1 11 0 9 11 9 1 11 9 11 0 1 11 1 9 1 11 1 0 1 9 0 1 0 11 0 9 0 1 9 11 9 1 0 1 9 1 11 0 11 1 11 0 9 1 9 0 9 11 9 0 9 1 0 11 0 1 0 9 1 0 11 9 1 9 0 1 0 11 0 1 0 9 1 0 1 11 1 9 1 11 1 0 11 9 0 11 1 0 1 9 0 1 0 11 9 0 9 1 9 11 1 9 1 0 1 11 0 9 0 11 1 11 9 1 11 1 0 11 9 11 1 0 11 0 9 11 9 1 0 1 11 0 1 0 9 0 11 0 9 0 1 9 0 9 11 9 1 11 9 11 0 9 0 1 11 0 11 9 11 1 11 9 11 0 9 11 9 1 9 11 9 0 9 1 0 9 0 11 9 1 9 11 0 11 1 0 1 9 0 11 9 1 0 9 0 11 0 9 0 1 0 11 1 0 1 9 11 1 11 0 11 1 11 9 11 0 9 11 9 1 9 11 9 0 11 0 1 11 9 0 1 9 0 9 11 9 0 1 9 1 11 1 0 9 0 11 1 11 9 0 9 11 1 9 1 0 1 11 9 0 9

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Alphabet {0, 1, 9, 11}

size 4 · diameter 11 · record length 431 · JSON

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

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