Additive Squares

Word of length 180 over {0, 3, 4, 9}

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

050100150-200 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

9 4 3 0 4 0 9 4 0 4 3 4 9 4 3 4 0 3 4 9 0 9 3 9 4 9 3 9 0 3 0 4 0 9 4 0 4 3 4 9 3 4 3 0 4 0 9 0 4 3 0 3 9 0 3 0 4 0 9 0 4 0 3 4 3 9 3 4 0 4 9 0 4 0 3 0 4 0 9 4 9 3 9 4 0 9 4 9 3 4 3 0 9 3 0 4 0 9 0 3 9 3 4 9 4 0 9 4 9 3 9 0 9 3 9 4 3 4 0 4 9 4 3 9 4 9 0 3 9 3 4 3 0 4 0 9 3 9 4 3 4 0 4 9 0 4 0 3 0 4 0 9 0 3 9 3 4 0 3 9 0 9 4 9 3 4 0 4 3 9 3 0 3 9 4 9 0 9 4 9

← previous record (179)

Alphabet {0, 3, 4, 9}

size 4 · diameter 9 · record length 180 · JSON

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

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