Additive Squares

Word of length 371 over {0, 4, 7, 13}

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

0100200300-60-40-200 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

7 4 13 0 7 0 13 0 4 7 4 0 4 7 13 7 4 7 13 0 13 4 13 7 0 4 7 13 7 0 4 0 7 0 13 0 7 0 4 7 13 7 4 0 4 13 0 4 7 0 13 4 13 7 13 0 13 7 13 4 7 0 13 7 4 13 4 0 13 0 7 4 7 13 4 7 4 0 4 13 4 0 4 7 0 4 0 13 7 0 13 4 13 7 4 7 0 4 13 4 0 4 7 0 7 13 0 7 0 4 0 13 0 4 0 7 4 0 4 13 7 13 0 4 0 7 4 0 4 13 4 0 4 7 4 13 7 4 7 0 13 4 13 0 13 7 13 0 13 4 0 7 0 4 13 4 7 13 7 0 4 13 0 4 0 7 0 4 0 13 0 7 13 0 13 4 0 7 4 0 13 4 13 7 13 0 13 7 13 4 7 13 0 7 4 13 4 0 4 13 7 0 7 4 0 7 0 13 0 4 13 7 13 0 7 13 7 4 13 4 0 13 4 13 7 13 0 13 7 13 4 7 13 7 0 4 13 0 4 0 7 13 7 4 7 0 7 4 7 13 4 13 0 13 4 13 7 4 13 4 0 7 13 7 4 7 0 13 0 4 0 7 0 4 0 13 4 13 7 13 0 4 0 13 0 7 13 7 4 7 0 13 0 4 0 7 0 4 0 13 4 7 4 0 7 4 7 13 4 0 13 4 13 7 13 4 13 0 4 0 7 4 0 13 0 4 0 7 4 7 13 7 4 0 13 0 7 13 0 13 4 13 0 13 7 13 4 7 13 7 0 13 0 4 0 7 13 7 0 7 13 4 0 4 7 4 0 13 7 13 4

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Alphabet {0, 4, 7, 13}

size 4 · diameter 13 · record length 371 · JSON

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

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