Additive Squares

Word of length 370 over {0, 2, 5, 12}

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).

5 12 5 2 5 0 2 12 0 12 5 12 2 0 2 12 2 5 0 5 12 0 5 0 2 0 12 0 2 0 5 2 0 2 12 2 5 2 12 2 0 12 2 12 5 12 0 5 2 5 12 2 12 0 2 0 5 0 2 0 12 0 5 12 2 12 5 12 0 12 5 2 12 2 0 12 2 12 5 12 0 12 5 12 2 5 12 5 0 5 12 5 2 5 0 2 12 0 5 12 5 2 12 0 2 12 5 2 0 12 0 2 0 5 0 2 0 12 2 5 2 12 2 0 12 2 5 0 5 12 0 12 2 12 0 12 5 12 2 5 12 5 0 5 2 0 5 0 12 2 12 5 2 12 2 0 5 2 0 12 0 2 5 0 5 12 0 5 0 2 0 12 0 2 0 5 2 0 2 12 2 5 2 0 5 0 12 0 2 12 5 2 12 2 0 12 0 5 12 5 2 5 12 0 5 0 2 0 12 0 2 0 5 2 0 2 12 5 12 0 12 2 0 2 5 2 12 2 0 12 2 12 5 12 2 12 0 12 5 0 2 5 2 12 2 0 12 5 0 2 0 5 12 5 0 2 5 2 12 5 12 0 12 5 2 12 2 0 12 2 12 5 12 0 12 5 12 2 5 12 5 0 5 12 5 2 5 0 2 12 0 12 5 12 2 0 5 2 12 5 2 0 5 0 12 0 2 0 5 2 12 2 5 2 0 2 5 12 2 12 0 12 2 12 5 12 2 0 5 0 12 5 12 2 12 5 12 0 5 12 5 2 5 0 2 5 2 12 2 0 12 5 12 2 5 2 0 5 0 12 5 12 2 0 5 12 0 5 0 2

Alphabet {0, 2, 5, 12}

size 4 · diameter 12 · record length 370 · 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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