Additive Squares

Word of length 173 over {0, 1, 3, 8}

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

050100150020 position in word → partial sum

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

8 1 3 1 0 1 3 1 8 3 0 3 1 8 3 8 0 8 1 0 3 0 1 8 1 3 8 1 8 0 8 3 8 0 8 1 0 3 0 8 1 0 1 3 0 3 8 0 3 0 1 0 8 0 1 0 3 1 0 1 8 1 3 8 3 0 3 1 0 8 0 3 1 0 1 8 0 8 3 8 0 1 8 1 3 1 8 0 8 3 0 8 1 0 3 8 3 1 8 3 8 0 8 3 8 1 8 0 1 8 1 3 8 3 0 3 1 8 1 3 1 8 0 8 1 8 0 3 0 1 0 8 1 8 3 1 8 1 0 1 3 1 0 1 8 0 1 0 3 0 8 0 1 8 1 3 1 8 0 8 1 8 3 1 3 0 3 1 8 0 8 1 8

Alphabet {0, 1, 3, 8}

size 4 · diameter 8 · record length 173 · JSON

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

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