Additive Squares

Word of length 323 over {0, 2, 4, 13}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 328jump to the current record (328).

0100200300-40-200 position in word → partial sum

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

13 0 4 0 13 0 2 4 13 4 2 4 0 13 0 2 0 13 4 13 2 0 13 4 2 4 13 4 0 4 13 2 0 2 4 0 2 0 13 0 4 0 13 0 2 13 0 13 4 13 2 13 4 13 0 4 13 4 2 4 0 2 13 2 4 13 2 13 0 2 0 4 2 13 2 0 4 2 4 13 4 2 4 0 4 2 13 2 0 4 0 2 0 13 0 2 0 4 2 4 13 2 4 2 0 13 2 13 4 13 0 13 2 0 2 4 0 2 0 13 0 4 0 13 0 2 13 0 13 4 13 2 13 4 13 0 4 2 0 4 0 13 2 13 4 13 0 4 0 2 0 13 0 4 0 2 4 2 13 4 2 4 0 2 4 2 13 4 13 0 13 4 13 2 13 0 2 0 4 2 13 2 0 13 2 13 4 13 0 13 4 13 2 4 13 4 0 4 13 4 2 4 0 2 4 2 13 4 13 0 13 4 13 2 13 0 2 4 2 0 13 0 4 0 2 4 13 4 2 4 0 4 2 13 0 2 0 4 0 2 0 13 0 4 13 0 13 2 4 2 0 13 0 4 13 0 13 2 13 0 13 4 13 2 4 13 4 0 4 13 4 2 4 0 2 0 13 0 4 2 13 4 2 4 0 2 0 13 0 4 0 13 0 2 13 0 13 4 13 2 4 2 0 13 0 4 13 4 2 4 0 4 13 0 4 0 2 0 13 0 4 13 0

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Alphabet {0, 2, 4, 13}

size 4 · diameter 13 · record length 328 · JSON

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

Know the exact maximum? Log in to claim this alphabet closed.

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