Additive Squares

Word of length 422 over {0, 1, 8, 13}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 471jump to the current record (471).

0100200300400-50050100 position in word → partial sum

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

0 1 0 8 0 1 0 13 0 1 0 8 1 0 1 13 1 0 1 8 1 13 8 0 8 1 0 1 13 0 1 0 8 0 13 8 1 8 0 13 0 1 13 0 13 8 0 13 0 1 8 0 8 13 8 0 8 1 8 0 13 1 0 1 8 0 8 13 0 13 1 0 1 8 13 0 1 13 0 13 8 13 0 13 1 13 8 1 13 1 0 1 8 0 13 0 1 8 1 13 8 13 0 8 0 1 8 13 0 13 8 13 1 13 8 13 0 8 1 8 13 1 8 1 0 8 0 13 8 13 1 13 0 1 13 1 8 1 0 8 0 13 0 8 0 1 0 13 1 13 8 13 0 13 8 13 1 8 13 8 0 1 0 13 1 13 8 1 13 1 0 1 8 1 0 1 13 0 13 8 0 13 0 1 0 8 1 0 1 13 1 0 1 8 0 8 13 0 1 13 1 8 1 13 0 13 8 13 1 8 1 0 8 0 13 8 1 8 0 1 8 1 13 1 0 1 8 0 1 0 13 0 1 0 8 0 13 8 0 8 1 0 13 0 1 0 8 0 1 13 0 13 8 0 13 1 8 1 13 1 0 8 0 13 1 0 1 8 1 0 1 13 1 0 8 13 8 1 13 1 0 1 13 8 13 0 8 13 8 1 0 1 13 1 0 8 0 13 0 1 13 8 13 1 13 0 13 1 8 13 8 0 13 8 13 1 13 0 1 8 1 13 8 1 8 0 8 13 0 8 0 1 0 13 1 0 1 8 13 0 13 8 13 1 8 1 0 1 13 1 0 1 8 0 1 0 13 0 1 0 8 0 13 8 1 8 0 1 8 1 13 1 0 13 0 8 0 13 0 1 13 0 13 8 1 8 0 8 13 0 13 1 13 8 13 1 13 0 1 8 1 13 8 13 0 8 0 1 0 8 13 0 13 1 13 8 1 13 1 0 8 0

next record (471) →

Alphabet {0, 1, 8, 13}

size 4 · diameter 13 · record length 471 · 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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