Additive Squares

Word of length 352 over {0, 2, 7, 11}

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

0100200300-20020 position in word → partial sum

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

11 2 0 7 0 11 0 2 11 7 11 2 0 2 7 0 2 0 11 7 0 11 2 11 7 11 0 7 0 2 7 0 11 0 7 0 2 7 2 11 2 7 2 0 2 11 0 2 0 7 2 11 2 7 2 0 7 11 0 7 2 0 11 7 11 2 11 0 11 2 11 7 2 0 2 7 2 11 2 7 0 11 7 0 7 2 7 0 11 7 11 2 11 7 0 11 0 2 11 0 11 7 11 2 11 7 11 0 7 11 7 2 7 11 7 0 7 2 0 11 0 7 11 7 2 11 7 11 0 2 11 2 7 2 0 7 2 7 11 0 7 0 2 0 11 0 2 0 7 2 0 2 11 2 7 11 2 11 0 11 2 11 7 11 0 7 11 7 2 11 0 2 11 7 2 7 0 7 11 0 7 0 2 0 11 0 2 0 7 2 7 11 0 11 2 0 2 7 2 0 2 11 0 2 0 7 0 11 0 7 0 2 7 0 7 11 7 2 7 0 2 0 11 7 11 0 11 2 7 2 11 2 0 7 0 11 7 0 7 2 0 7 0 11 2 0 2 7 2 0 2 11 2 0 7 11 0 11 2 11 0 11 7 11 2 7 11 7 0 7 2 7 11 2 0 2 11 7 11 0 11 2 0 2 7 0 2 0 11 7 0 7 2 7 11 7 0 11 7 11 2 11 7 11 0 7 0 2 7 11 0 11 2 11 7 11 2 11 0 2 7 2 11 7 11 0 7 11 7 2 7 0 2 11 2 7 11 2 11 0 2 7 0 2 0 11 7 2 7 0 2 0

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Alphabet {0, 2, 7, 11}

size 4 · diameter 11 · record length 352 · JSON

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

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