Additive Squares

Word of length 449 over {0, 2, 9, 13}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 460jump to the current record (460).

0100200300400-100-500 position in word → partial sum

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

0 2 0 9 0 2 0 13 0 2 0 9 2 0 2 13 2 0 2 9 2 13 9 0 9 2 0 2 13 0 13 9 13 0 13 2 0 13 0 9 0 2 9 2 13 9 0 9 2 0 9 0 13 0 2 0 9 2 0 2 13 2 0 2 9 0 9 13 0 2 0 9 13 0 13 2 13 0 13 9 13 2 9 0 9 2 9 13 9 2 0 9 0 13 0 9 2 0 2 13 2 0 2 9 2 13 0 13 9 13 2 13 9 13 0 9 2 9 13 2 13 0 2 0 9 0 13 2 13 0 9 13 9 2 9 13 0 9 0 2 9 0 9 13 9 2 9 13 9 0 13 9 13 2 13 9 13 0 13 2 0 9 0 13 9 13 2 9 13 9 0 9 2 0 9 0 13 9 2 13 2 0 2 13 2 9 2 13 0 13 9 13 2 13 9 13 0 9 0 2 0 13 2 13 9 2 0 2 13 0 2 0 9 0 13 0 9 0 2 9 13 0 9 2 0 2 13 0 13 9 13 2 13 9 13 0 9 13 9 2 9 13 9 0 9 2 0 2 13 9 13 0 13 2 0 9 0 2 0 13 0 2 9 0 9 13 0 9 0 2 0 13 0 2 0 9 2 0 2 13 2 0 2 9 2 13 9 2 9 0 2 0 13 2 9 2 0 13 2 13 9 13 0 9 13 9 2 0 2 13 0 2 0 9 2 0 2 13 9 2 9 0 9 2 9 13 9 0 2 0 13 2 13 9 2 9 0 9 13 9 2 13 9 13 0 13 9 13 2 13 0 2 0 9 0 2 13 9 13 2 13 0 13 2 13 9 2 0 2 13 0 2 0 9 2 9 13 2 13 0 13 9 2 9 13 0 9 0 2 0 13 0 2 0 9 2 0 2 13 2 0 2 9 2 13 9 0 13 9 2 13 2 0 13 2 13 9 13 0 9 13 9 2 9 0 9 13 0 2 0 9 2 0 2 13 0 9 13 0 2 13 9 0 9 2 9 0 13 2

next record (460) →

Alphabet {0, 2, 9, 13}

size 4 · diameter 13 · record length 460 · 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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