Additive Squares

Word of length 166 over {0, 3, 5, 9}

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

05010015002040 position in word → partial sum

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

0 3 9 5 0 3 5 0 5 9 5 0 5 3 5 9 3 5 3 0 9 0 5 0 3 0 5 0 9 5 9 3 9 5 0 5 9 5 3 9 3 0 3 9 5 0 9 5 9 3 9 5 9 0 9 3 0 9 0 5 9 5 3 9 0 3 0 5 0 9 5 3 5 9 0 9 5 3 9 3 0 9 0 5 3 9 5 0 5 3 0 3 9 0 3 0 5 0 9 0 5 0 3 5 0 9 5 3 9 5 0 9 0 3 0 5 3 9 3 0 5 3 5 9 5 0 9 5 9 3 9 5 9 0 9 3 0 9 0 5 3 9 3 5 3 0 5 0 9 0 3 0 5 0 9 5 9 3 9 5 0 5 9 5 0 3

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Alphabet {0, 3, 5, 9}

size 4 · diameter 9 · record length 166 · JSON

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

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