Additive Squares

Word of length 60 over {0, 1, 10, 11}

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

0102030405060-30-20-100 position in word → partial sum

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

0 11 1 0 10 11 10 1 11 1 0 1 11 10 11 1 11 10 0 10 1 0 1 11 1 0 10 0 1 0 10 11 10 0 10 11 1 11 10 11 0 10 0 1 11 1 0 1 11 10 11 1 11 0 1 0 10 11 1 10

Alphabet {0, 1, 10, 11}

size 4 · diameter 11 · 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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