Additive Squares

Word of length 60 over {0, 4, 9, 13}

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 -7 (drift removed).

0 13 4 0 9 13 9 4 13 4 0 4 13 9 13 4 13 9 0 9 4 0 4 13 4 0 9 0 4 0 9 13 9 0 9 13 4 13 9 13 0 9 0 4 13 4 0 4 13 9 13 4 13 0 4 0 9 13 4 9

Alphabet {0, 4, 9, 13}

size 4 · diameter 13 · 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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