Additive Squares

Word of length 212 over {0, 1, 2, 9}

by Aayush Rajasekaran, 2026-08-26 · the current record for this alphabet · JSON

050100150200020 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

9 1 2 0 2 1 9 2 9 0 9 2 9 1 9 0 1 2 1 0 9 1 0 2 1 2 9 2 1 2 0 2 1 9 0 1 2 0 1 0 9 0 1 0 2 1 2 9 0 2 9 1 9 2 0 9 0 1 9 0 9 2 9 1 9 2 9 0 2 9 2 1 2 9 2 0 2 1 0 1 9 0 9 2 1 2 9 2 0 9 1 9 0 9 2 9 0 1 2 1 0 1 9 1 0 2 1 2 9 2 1 2 0 2 9 1 0 1 2 0 1 0 9 0 1 0 2 1 2 9 0 1 0 2 0 9 1 9 0 9 2 0 2 1 2 9 2 0 2 1 0 9 0 2 9 0 9 1 9 0 9 2 9 1 2 9 2 0 2 9 2 1 2 0 1 2 1 9 0 2 0 9 0 1 0 9 0 2 9 1 9 2 9 0 2 9 1 0 1 2 1 9 0 2 0 1 0 9 0 1 0 2

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Alphabet {0, 1, 2, 9}

size 4 · diameter 9 · record length 212 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

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