Additive Squares

Word of length 494 over {0, 1, 4, 13}

by Kaitlyn Loyd, 2026-08-26 · the current record for this alphabet · JSON

0100200300400-1000 position in word → partial sum

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

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

← previous record (460)

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.

Record history

Comments

No comments yet.

Log in to comment.

← all record words