Additive Squares

Word of length 192 over {0, 1, 2, 9, 17, 18}

by Bryna Kra, 2026-08-26 · the current record for this alphabet · JSON

050100150-50050 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -8 (drift removed).

18 0 2 1 9 17 18 17 2 18 9 17 1 9 0 1 0 2 18 0 2 1 0 2 18 17 2 18 0 2 1 9 0 1 0 2 18 9 17 1 9 0 1 9 17 18 9 17 1 9 17 18 17 2 18 0 2 1 9 17 18 17 2 18 9 17 1 9 17 18 17 2 18 0 2 1 0 2 18 17 2 18 0 2 1 9 17 18 17 2 18 9 17 1 9 0 1 9 17 18 9 17 1 9 17 18 17 2 18 0 2 1 9 0 1 0 2 18 9 17 1 9 0 1 9 17 18 9 17 1 9 0 1 0 2 18 0 2 1 9 0 1 0 2 18 9 17 1 9 0 1 0 2 18 0 2 1 0 2 18 17 2 18 0 2 1 9 17 18 17 2 18 9 17 1 9 0 1 0 2 18 0 2 1 0 2 18 17 2 18 0 2

Alphabet {0, 1, 2, 9, 17, 18}

size 6 · diameter 18 · record length 192 · 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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