Additive Squares

Word of length 545 over {0, 2, 9, 14}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

01002003004005000100 position in word → partial sum

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

0 2 0 9 0 2 0 14 0 2 0 9 2 0 2 14 2 0 2 9 2 14 9 0 9 2 0 2 14 0 2 0 9 0 14 0 9 0 2 9 0 14 2 9 14 2 14 0 9 0 14 0 2 14 2 9 2 0 2 9 2 14 9 0 2 9 14 2 14 0 2 9 0 14 9 14 2 14 9 14 0 14 2 0 14 0 9 0 2 0 9 0 14 9 0 2 9 2 14 9 14 0 9 0 2 0 14 0 2 0 9 2 0 2 14 2 0 2 9 2 14 9 0 9 2 0 2 14 0 14 9 0 9 2 14 9 14 0 14 2 0 14 0 9 0 2 0 9 0 14 9 2 14 2 0 2 9 2 14 9 2 9 0 9 14 9 2 14 9 14 0 14 2 14 9 2 14 2 0 2 9 0 14 9 14 2 14 9 14 0 14 2 0 14 0 9 0 2 0 14 2 9 14 0 14 2 0 2 9 0 2 14 2 0 2 9 0 9 14 9 0 9 2 9 0 14 0 2 14 0 14 9 14 2 14 9 14 0 9 2 0 2 14 2 9 2 0 9 2 9 14 9 0 9 14 9 2 14 9 14 0 14 2 14 9 2 9 0 2 0 14 2 9 14 2 14 0 14 2 14 9 14 0 9 14 9 2 14 2 0 14 9 14 2 0 14 0 9 0 14 0 2 0 9 2 9 14 2 14 0 14 2 14 9 14 0 9 2 9 14 2 9 2 0 2 14 2 9 14 0 9 0 2 0 14 2 9 2 0 14 2 14 9 14 2 14 0 14 9 0 14 0 2 0 14 0 9 0 2 9 14 2 14 0 14 2 9 2 0 2 9 14 9 0 14 0 2 0 9 0 2 0 14 2 0 2 9 2 0 2 14 2 9 14 2 14 0 9 2 9 14 9 0 2 0 14 9 14 2 9 2 0 2 14 2 0 2 9 0 14 0 2 14 0 14 9 14 2 14 9 14 0 9 2 14 2 0 2 9 0 9 14 9 2 9 14 9 0 14 9 14 2 14 9 14 0 14 2 0 14 0 9 14 2 14 9 14 0 14 9 2 14 2 0 2 9 0 2 0 14 0 2 0 9 0 14 9 14 2 0 9 2 0 2 14 2 0 9 2 9 14 2 9 2 0 14 0 9 2 9 0 14 9 14 2 14 9 14 0 14 2 0 9 2 0 14 2 9 0 9 14 9 2 14 0 2 0 9 2 9 14 2 0 2 14

Alphabet {0, 2, 9, 14}

size 4 · diameter 14 · record length 545 · 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