Additive Squares

Word of length 339 over {0, 3, 6, 14}

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

0100200300-100-500 position in word → partial sum

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

0 3 0 6 0 3 0 14 0 3 0 6 3 0 3 14 6 0 6 3 0 6 14 0 14 3 0 6 3 6 14 3 6 3 0 14 3 14 6 14 0 14 3 0 3 6 0 3 0 14 0 6 0 14 0 3 14 0 14 6 14 3 14 6 14 0 6 14 6 3 0 3 14 6 14 0 6 14 6 3 6 0 6 3 6 14 3 6 0 3 0 14 0 6 0 14 0 3 14 6 14 3 14 0 3 6 0 6 14 6 3 0 3 14 6 3 0 14 0 3 0 6 0 3 0 14 3 6 3 0 6 3 6 14 6 3 6 0 3 0 14 0 6 14 0 14 3 6 0 3 6 3 14 0 14 6 14 3 6 3 0 6 3 6 14 6 0 6 14 6 3 14 6 14 0 14 6 14 3 14 0 3 14 3 6 0 6 14 3 6 0 3 0 14 0 6 14 3 14 0 6 14 6 3 6 14 6 0 6 3 0 3 14 6 3 0 6 0 14 0 3 0 14 0 6 14 0 14 3 6 3 0 6 3 14 6 0 6 14 3 14 6 14 0 3 0 6 14 0 14 3 14 0 14 6 14 0 3 6 3 14 6 14 0 14 6 14 3 6 14 6 0 6 3 6 0 6 14 0 3 6 14 3 14 0 14 3 14 6 14 0 6 14 6 3 0 3 6 14 3 0 14 0 6 0 3 0 14 0 6 14 3 14 6 14 0 6 0 3 6 14 6 3 6 0 3 0 14 0 6 14 3 6 14 6 0 6 14 6

Alphabet {0, 3, 6, 14}

size 4 · diameter 14 · record length 339 · JSON

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

Know the exact maximum? Log in to claim this alphabet closed.

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