Additive Squares

Word of length 404 over {0, 1, 4, 13}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-25 by length 405jump to the current record (494).

0100200300400-50050100 position in word → partial sum

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

0 1 0 4 0 1 0 13 0 1 0 4 1 0 1 13 1 0 1 4 1 13 4 0 4 1 0 1 13 0 1 0 4 0 13 0 4 0 1 4 0 13 1 4 13 1 13 0 4 0 13 0 1 4 1 13 1 0 1 13 1 4 13 0 4 13 1 4 1 0 4 1 4 13 4 0 13 4 13 1 13 0 1 0 4 1 4 13 1 0 4 0 1 0 13 0 1 4 0 4 13 4 1 4 13 4 0 13 4 13 1 13 4 13 0 13 1 0 13 0 4 1 13 4 0 13 4 13 1 0 1 13 1 4 13 4 0 1 4 0 13 0 4 1 0 1 13 0 13 4 13 0 13 1 13 4 1 13 1 0 13 0 4 0 1 4 1 13 1 0 1 4 0 1 0 13 0 4 0 1 4 1 13 1 0 13 0 4 13 1 13 4 0 4 13 1 4 1 0 4 0 13 0 4 0 1 0 13 4 1 4 0 1 0 13 0 1 0 4 1 0 1 13 1 4 1 0 4 1 4 13 0 4 0 1 0 4 0 13 0 1 4 1 13 1 0 13 4 0 4 1 4 13 1 4 1 0 13 1 13 4 13 0 13 1 0 1 4 1 0 1 13 0 1 0 4 13 1 4 13 4 0 13 0 1 13 0 13 4 13 1 13 4 13 0 4 13 4 1 4 0 1 13 0 13 4 13 0 1 13 1 4 1 13 0 1 0 4 1 4 13 4 1 4 0 4 13 1 0 1 4 0 4 13 4 0 4 1 0 4 0 13 1 0 1 4 1 13 4 13 0 4 1 0 4 0 13 4 13 1 13 0 13 1 13 4 1 13 1 0 4 13 0 1 0 4 1 4 13 1 4 0 4 1 4 13 1 13 0 13 4 0 4 1 4 0 13 0 1 0 4 0 1 0

next record (405) →

Alphabet {0, 1, 4, 13}

size 4 · diameter 13 · record length 494 · 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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