Additive Squares

Word of length 60 over {0, 4, 5, 9}

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

0102030405060-20-100 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

0 9 4 0 5 9 5 4 9 4 0 4 9 5 9 4 9 5 0 5 4 0 4 9 4 0 5 0 4 0 5 9 5 0 5 9 4 9 5 9 0 5 0 4 9 4 0 4 9 5 9 4 9 0 4 0 5 9 4 5

Alphabet {0, 4, 5, 9}

size 4 · diameter 9 · 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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