Additive Squares

Word of length 372 over {0, 1, 8, 11}

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

0100200300-500 position in word → partial sum

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

0 1 0 8 0 1 0 11 0 1 0 8 1 0 1 11 1 0 1 8 1 11 8 0 8 1 0 1 11 0 1 0 8 0 11 8 0 8 1 0 1 11 8 11 1 0 11 0 8 0 11 0 1 0 11 8 11 1 11 0 11 1 11 8 1 8 0 1 0 11 1 8 0 8 1 8 0 11 0 1 11 0 11 8 11 1 11 8 11 0 8 11 1 8 1 0 8 11 0 1 11 1 8 1 0 8 1 8 11 8 0 8 11 8 1 11 8 11 0 11 8 11 1 11 0 1 11 1 8 11 0 11 8 11 1 8 0 8 1 8 11 1 11 0 1 0 8 0 1 11 0 11 8 11 1 11 8 11 0 8 11 8 1 8 0 1 0 11 8 0 1 8 1 11 1 8 1 0 1 11 0 1 0 8 11 0 11 1 0 1 8 1 11 8 11 0 8 1 8 0 8 11 0 1 0 11 0 8 0 11 1 0 1 8 0 1 11 8 0 11 0 1 11 1 8 1 11 1 0 1 8 0 1 0 11 0 1 0 8 0 11 8 1 8 0 1 0 11 0 1 0 8 1 0 1 11 1 8 1 0 8 0 11 8 11 1 0 11 0 8 0 11 0 1 0 8 11 8 1 8 0 1 11 0 8 11 8 1 11 8 11 0 1 11 1 8 1 11 1 0 1 8 0 1 0 11 1 8 11 0 8 0 1 0 11 8 11 1 11 8 0 8 11 1 8 1 0 1 11 1 8 11 8 0 11 0 1 11 0 11 8 11 1 11 8 11 0 8 11 1 8 1 0 1 11 0 8 11 8 1 8 11 8 0 8 11 1 11 0 8 11 8

Alphabet {0, 1, 8, 11}

size 4 · diameter 11 · record length 372 · JSON

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

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