Additive Squares

Word of length 305 over {0, 1, 6, 10}

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

0100200300050 position in word → partial sum

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

6 10 0 1 10 0 6 10 6 1 6 0 6 10 0 6 0 1 0 10 1 0 1 6 0 10 0 6 1 6 10 6 0 10 0 1 10 0 10 6 10 1 6 10 6 0 6 10 6 1 6 0 1 10 0 6 0 1 10 1 6 10 1 10 0 10 6 0 1 0 10 1 0 1 6 0 6 10 6 1 6 0 1 6 1 10 1 0 1 6 0 1 0 10 0 1 0 6 1 6 10 1 0 10 0 6 0 1 0 6 0 10 6 10 1 10 6 10 0 10 6 1 6 0 1 6 1 10 6 0 6 1 0 1 10 1 0 6 10 0 6 0 1 0 6 10 0 10 1 10 0 10 6 10 1 6 10 6 0 10 1 10 0 6 0 1 6 0 6 10 6 1 6 10 6 0 10 6 10 1 10 6 10 0 10 1 0 10 0 6 10 6 1 6 10 6 0 10 6 1 0 10 6 0 10 0 1 0 10 0 6 0 1 6 0 6 10 0 10 1 6 10 6 0 6 10 6 1 6 0 1 10 1 0 1 6 0 10 1 10 6 10 0 6 0 1 0 10 0 1 0 6 1 0 1 10 1 6 1 10 1 0 10 0 6 0 1 10 1 6 1 0 1 6 1 10 6 0 6 10 6 1 10 0 1 10 6 10 1 0 10 0 6 10 0 10 1 10 6 1 0 1 10 1 0

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Alphabet {0, 1, 6, 10}

size 4 · diameter 10 · record length 305 · JSON

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

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