Additive Squares

Word of length 289 over {0, 1, 3, 11}

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

0501001502002500204060 position in word → partial sum

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

0 11 3 1 11 3 11 0 1 0 3 11 0 11 1 11 0 11 3 11 1 3 0 1 3 1 11 3 11 0 11 3 1 0 1 11 0 1 0 3 0 1 0 11 0 3 11 3 1 11 0 11 1 11 3 1 3 0 3 11 3 1 11 3 11 0 11 1 11 0 11 3 0 11 1 0 3 0 1 11 1 3 0 3 1 11 3 11 0 11 1 0 11 0 3 0 1 3 1 11 0 1 0 3 0 1 0 11 0 3 1 3 11 1 3 1 0 11 3 0 3 1 3 0 11 3 11 1 11 0 11 3 0 1 3 1 11 1 3 0 1 0 11 0 3 11 0 11 1 3 1 0 11 1 11 3 11 0 11 1 11 3 1 3 0 3 11 3 1 11 3 11 0 11 3 11 1 11 0 1 11 1 3 11 0 11 3 11 1 11 3 0 11 0 1 0 3 11 3 1 0 1 11 0 11 3 11 1 0 1 11 1 3 11 3 0 3 11 1 3 1 0 3 0 11 0 3 0 1 0 3 11 3 1 0 1 11 3 11 0 1 0 11 0 3 0 11 0 1 11 3 11 1 11 0 11 1 3 11 3 0 11 3 11 1 11 0 11 1 11 3 1 0 1 11 0 1 0 3 1 3 11 1 0 1 3 1 0 1

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Alphabet {0, 1, 3, 11}

size 4 · diameter 11 · record length 289 · JSON

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

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