Additive Squares

Word of length 60 over {0, 5, 7, 12}

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

0102030405060010 position in word → partial sum

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

0 12 5 0 7 12 7 5 12 5 0 5 12 7 12 5 12 7 0 7 5 0 5 12 5 0 7 0 5 0 7 12 7 0 7 12 5 12 7 12 0 7 0 5 12 5 0 5 12 7 12 5 12 0 5 0 7 12 5 7

Alphabet {0, 5, 7, 12}

size 4 · diameter 12 · record length 60 · 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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