Additive Squares

Word of length 400 over {0, 3, 9, 14}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 401jump to the current record (401).

0100200300400050100150 position in word → partial sum

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

3 0 3 14 0 14 9 0 14 0 3 0 9 3 14 3 9 0 9 14 9 0 3 0 9 0 14 9 14 3 14 0 14 3 14 9 3 14 0 3 9 0 9 14 0 9 0 3 0 14 0 3 0 9 3 0 3 14 9 3 9 0 9 14 9 3 9 0 3 14 3 9 0 3 0 14 3 0 3 9 14 9 0 14 9 14 3 14 9 14 0 14 3 0 9 0 14 3 0 3 9 0 3 0 14 9 14 3 14 9 0 9 14 3 9 3 0 9 3 9 14 9 0 9 14 9 3 14 9 14 0 14 9 14 3 14 0 3 14 3 9 14 9 0 9 3 9 14 3 9 3 0 3 14 3 0 3 9 0 14 0 3 14 0 14 9 14 3 14 9 14 0 9 14 9 3 0 3 14 3 9 0 14 0 3 0 9 14 9 3 9 0 9 3 9 14 3 0 3 9 0 3 0 14 3 0 3 9 14 3 14 0 14 9 14 3 9 0 9 3 14 3 0 9 0 3 0 14 9 14 3 0 14 0 9 0 14 0 3 0 14 9 3 9 0 3 0 14 0 3 0 9 3 0 3 14 3 9 3 0 9 0 14 0 3 0 14 0 9 14 3 14 0 9 14 9 3 14 3 0 3 9 0 9 14 9 3 9 0 3 9 3 14 3 0 3 9 0 3 0 14 0 3 0 9 0 14 9 3 14 9 0 9 14 3 9 3 0 3 14 0 9 0 3 14 0 14 9 14 3 14 9 14 0 9 3 0 14 0 9 14 9 3 9 0 9 14 9 3 14 0 14 3 9 3 0 3 9 14 9 0 9 3 0 14 0 3 0 9 0 3 14 9 3 14 3 0 14 9 0 14 3 14 0 9 14 9 3 9 14 9 0 9 3 0 14 3 9 3 0

next record (401) →

Alphabet {0, 3, 9, 14}

size 4 · diameter 14 · record length 401 · 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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