Additive Squares

Word of length 205 over {0, 2, 6, 9}

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

0501001502000204060 position in word → partial sum

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

2 6 9 2 0 9 2 6 2 9 0 2 0 6 2 0 2 9 2 6 9 0 9 6 9 2 6 2 0 6 9 6 0 2 0 6 0 2 9 2 0 2 9 6 9 0 2 9 0 6 0 2 6 0 6 9 0 9 2 6 9 6 0 9 6 9 2 0 2 6 2 9 6 0 9 6 9 2 9 6 9 0 9 2 0 9 0 6 9 6 2 9 6 0 9 0 2 0 6 2 6 9 2 6 2 0 9 2 9 6 9 0 9 2 0 6 0 2 0 9 0 2 6 0 6 9 6 2 9 2 0 2 6 0 2 0 9 0 2 0 6 2 6 9 0 2 0 6 0 9 0 6 0 2 6 9 6 2 6 0 2 0 9 2 6 9 2 9 0 9 2 9 6 9 0 6 9 6 2 9 2 0 9 6 0 6 2 6 0 6 9 6 0 2 0 9 6 0 9 2 9 6 9 2 9

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Alphabet {0, 2, 6, 9}

size 4 · diameter 9 · record length 205 · JSON

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

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