Additive Squares

Word of length 881 over {0, 1, 11, 15}

by Bryna Kra, 2026-08-26 · the current record for this alphabet · JSON

0200400600800-200-1000 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -7 (drift removed).

15 1 0 1 11 1 0 1 15 1 11 0 1 11 15 11 1 11 0 11 1 15 0 15 11 0 15 0 1 0 11 1 11 15 11 1 0 1 15 1 11 0 15 0 1 15 0 15 11 15 1 15 11 15 0 11 0 1 15 11 1 0 11 1 11 15 11 1 11 0 11 15 0 11 0 1 0 15 0 1 0 11 1 0 1 15 1 0 1 11 1 15 11 1 11 0 11 1 11 15 11 0 15 1 0 1 11 1 15 0 15 11 15 0 1 11 0 15 11 0 11 1 11 0 11 15 11 1 15 11 15 0 15 11 15 1 15 0 1 15 1 11 15 11 0 11 1 0 1 15 11 1 11 0 11 15 11 1 11 0 1 0 15 0 1 0 11 1 0 15 1 15 11 1 15 0 11 0 1 0 11 15 11 1 15 11 15 0 15 11 15 1 15 0 1 11 0 1 15 0 15 11 0 15 0 1 0 11 1 0 1 15 1 11 1 0 11 0 15 11 1 0 15 11 15 1 11 1 0 1 15 1 0 1 11 0 1 0 15 11 15 1 0 1 11 0 1 0 15 0 1 0 11 0 15 11 0 11 1 0 1 15 0 1 11 0 11 15 11 1 0 1 15 1 11 15 0 15 11 15 1 11 0 15 1 0 15 0 11 0 15 0 1 0 11 1 0 1 15 1 0 1 11 0 11 15 1 11 1 0 1 15 1 11 15 11 0 15 0 1 15 0 15 11 15 1 15 11 15 0 11 1 11 15 1 15 0 1 0 11 15 11 1 11 0 11 1 11 15 1 0 1 11 0 1 0 15 1 15 11 15 0 11 1 11 15 0 11 0 1 0 15 0 11 15 0 15 1 15 0 15 11 15 1 11 15 11 0 15 1 15 0 11 15 0 1 15 1 11 1 0 11 1 11 15 11 0 15 11 15 1 15 11 15 0 11 0 1 15 0 15 11 15 1 15 11 15 0 11 15 11 1 11 15 11 0 11 1 0 11 0 15 11 15 1 11 1 0 1 11 15 1 15 0 15 11 0 1 0 15 11 0 11 1 11 15 11 0 15 11 15 1 15 0 15 11 0 15 0 1 0 15 0 11 0 1 11 0 11 15 1 15 0 11 0 15 1 0 1 11 1 0 1 15 1 11 15 1 15 0 15 11 0 15 0 1 11 0 1 15 1 11 15 11 0 11 15 11 1 15 11 15 0 15 1 15 11 1 15 1 0 11 1 11 15 11 1 11 0 11 15 1 15 0 11 0 1 11 0 11 15 1 0 15 11 15 0 1 0 11 1 0 1 15 1 0 1 11 1 15 11 15 0 15 11 15 1 15 0 11 0 15 0 1 15 11 1 0 11 0 15 0 1 0 11 1 0 1 15 11 15 1 15 0 11 0 15 0 1 11 15 11 1 11 0 11 1 11 15 1 0 1 11 0 1 0 15 1 11 15 0 11 0 1 0 15 0 1 0 11 1 0 1 15 1 0 1 11 1 15 11 15 0 1 0 11 1 11 15 11 1 11 0 1 11 1 15 1 0 15 1 15 11 1 0 11 15 0 15 1 15 11 1 15 1 0 1 11 1 0 1 15 0 1 0 11 0 15 0 1 15 11 15 1 0 1 11 1 0 15 0 11 0 1 0 11 0 15 11 15 1 15 0 15 11 0 15 0 1 11 0 11 15 11 0 11 1 11 15 0 15 1 15 11 0 1 11 15 11 0 15 0 1 0 15 0 11 15 0 15 1 15 11 15 1 15 0 1 11 15 0 11 15 11 1 11 15 0 11 0 1 0 11 15 0 15 1 0 15 11 1 11 0 1 11 1 15 0 15 1 15 11 1 11 0 15 1 15 0 15 11 15 0 15 1 0 11 0 15 11 0 11 1 0 15 1 11 0 1 0 15 0 1 0 11 0 15 1 11 1 0 1 15 11 15 1 15 0 11 1 0 15 0 11 1 11 0 15 11 15 1 15 0 15 11 15 1 11 1 0 1

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Alphabet {0, 1, 11, 15}

size 4 · diameter 15 · record length 881 · JSON

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

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