Additive Squares

Word of length 354 over {0, 1, 5, 11}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

0100200300050 position in word → partial sum

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

0 1 0 5 0 1 0 11 0 1 0 5 1 0 1 11 1 0 1 5 1 11 5 0 5 11 1 5 11 0 5 0 1 0 5 0 11 0 1 5 1 11 1 5 0 11 5 11 1 11 5 11 0 11 1 0 5 0 1 0 11 0 1 5 11 1 5 1 0 1 5 11 1 11 0 11 1 11 5 11 0 1 5 1 11 5 11 0 11 5 11 1 5 11 5 0 5 1 0 5 0 11 1 11 5 11 1 0 1 5 1 0 11 0 1 0 5 1 5 11 5 0 5 1 0 5 0 11 0 1 0 5 1 0 1 11 1 0 1 5 0 5 11 0 1 5 11 1 5 1 0 1 5 11 1 11 0 11 5 1 5 0 1 0 11 0 5 0 1 5 11 5 0 11 5 11 1 11 0 11 1 11 5 1 0 5 11 5 0 1 0 11 1 0 1 5 1 11 1 0 11 1 11 5 11 0 11 5 11 1 5 1 0 5 11 5 1 11 5 11 0 11 5 11 1 11 0 1 11 1 5 11 5 0 11 1 0 1 5 0 11 1 5 0 5 11 0 11 1 11 5 11 0 5 11 5 1 5 11 5 0 5 1 0 11 0 1 0 5 1 5 11 1 5 0 5 1 5 11 1 11 0 11 5 1 5 0 1 5 1 11 1 5 1 0 1 11 0 1 0 5 0 11 5 0 5 1 0 11 0 1 5 1 11 1 0 11 0 5 11 5 1 5 0 5 1 5 11 1 0 11 0 5 11 5 1 11 0 11 5 1 11 1 0 11 1 11 5 0 5 1 5 11 1

Alphabet {0, 1, 5, 11}

size 4 · diameter 11 · record length 354 · JSON

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

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