Additive Squares

Word of length 600 over {0, 1, 10, 14}

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

0100200300400500600-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

0 1 0 10 0 1 0 14 0 1 0 10 1 0 1 14 1 0 1 10 1 14 10 0 10 1 0 1 14 0 1 0 10 0 14 0 10 0 1 10 0 10 14 1 0 1 10 0 10 14 10 0 10 1 10 14 0 14 10 14 0 1 0 10 0 14 0 10 0 1 10 1 14 0 10 0 1 0 14 0 1 0 10 1 14 1 0 10 1 10 14 10 0 10 1 0 10 0 14 0 1 0 14 0 10 14 1 10 14 0 10 0 1 0 10 14 10 1 10 0 10 1 10 14 1 14 0 14 10 1 10 14 10 0 14 0 1 0 14 0 10 0 14 1 10 14 10 0 10 14 10 1 10 0 1 0 14 0 1 0 10 1 0 1 14 1 10 1 0 10 14 10 1 14 10 14 0 14 1 0 1 10 14 10 0 14 0 1 0 10 14 10 0 10 1 0 1 14 10 1 14 0 14 10 1 10 14 10 0 10 14 10 1 14 0 14 1 14 10 14 1 0 14 0 10 14 0 14 1 14 10 14 1 14 0 1 10 1 0 1 14 0 10 0 14 1 14 0 14 10 1 10 0 10 14 0 1 14 1 10 1 0 10 1 10 14 10 0 10 14 10 1 14 0 14 1 14 10 14 1 0 10 1 0 1 14 0 10 14 1 0 14 0 10 0 14 0 1 0 10 1 0 1 14 1 10 1 0 10 0 14 0 1 14 1 10 14 0 14 10 14 1 10 1 0 10 14 10 0 1 0 10 0 1 14 1 0 10 1 10 14 1 10 1 0 1 14 1 0 1 10 0 1 0 14 0 1 0 10 0 14 10 0 10 1 0 1 14 1 0 1 10 0 1 0 14 10 0 10 1 10 0 10 14 10 0 1 14 1 10 1 0 10 0 14 0 10 1 14 10 14 0 14 10 14 1 14 0 1 0 10 14 0 1 14 1 10 1 0 1 14 0 1 0 10 0 14 10 0 10 1 0 14 0 1 0 10 0 1 14 10 14 0 14 10 1 10 0 10 14 0 14 1 14 0 14 10 14 1 10 14 10 0 10 1 10 0 10 14 0 1 10 14 1 10 1 0 14 10 0 14 0 1 10 1 0 1 14 0 14 10 14 1 10 14 10 0 14 0 1 0 10 0 14 10 1 10 0 1 0 14 0 1 0 10 1 0 1 14 1 10 1 0 10 0 14 1 10 14 10 0 10 14 1 0 1 10 0 1 14 0 14 10 14 0 1 14 1 10 14 10 0 10 14 10 1 14 10 14 0 1 10 1 0 1 14 0 10 14 10 1 10 0 10 14 0 10 0 1 0 14 0 1 0 10 1 14 1 10 1 0 10 0 14 10 1 10 14 0 14

Alphabet {0, 1, 10, 14}

size 4 · diameter 14 · record length 600 · JSON

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

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