Additive Squares

Word of length 343 over {0, 1, 6, 12}

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

0100200300-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

1 12 0 6 1 12 6 1 6 0 1 0 12 1 6 1 12 0 12 1 12 6 0 6 1 6 0 12 0 6 0 12 1 12 6 12 0 12 6 12 1 6 1 0 12 1 6 0 6 12 6 1 12 1 0 1 6 1 0 1 12 0 1 0 6 12 0 6 1 6 0 12 6 12 1 12 0 1 0 6 12 6 1 0 6 0 12 0 6 0 1 0 6 12 1 12 0 1 0 6 0 1 0 12 1 0 1 6 1 12 1 6 1 0 6 1 12 0 12 1 12 6 1 0 6 1 12 6 0 12 0 1 0 6 0 1 0 12 1 0 1 6 1 12 6 0 6 1 12 1 0 12 1 12 6 12 1 12 0 12 6 0 6 1 0 6 0 12 6 0 6 1 12 6 12 0 12 6 12 1 12 6 0 1 0 12 1 12 6 12 1 12 0 1 12 1 6 1 0 6 0 12 6 1 12 0 1 12 1 6 12 0 12 6 1 12 6 0 12 0 1 0 6 0 1 0 12 1 0 1 6 1 12 6 12 0 6 1 6 12 1 6 1 0 1 12 1 0 1 6 0 1 0 12 0 1 0 6 0 12 6 0 6 1 0 1 12 1 0 1 6 1 12 6 0 6 12 6 1 6 12 0 6 0 1 0 12 0 6 12 6 1 6 12 0 12 6 12 1 6 1 0 1 6 12 1 12 0 1 12 1 6 1 0 1 6 1 12 6 0 12 0 1 0 6 12 0 6 1 6 12 0 12 1 6 1 0 6 1 12 6 1 0

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Alphabet {0, 1, 6, 12}

size 4 · diameter 12 · record length 343 · JSON

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

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