Additive Squares

Word of length 350 over {0, 3, 7, 14}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 353jump to the current record (353).

0100200300-500 position in word → partial sum

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

0 3 0 7 0 3 0 14 0 3 0 7 3 0 3 14 3 0 3 7 3 14 7 0 14 0 3 0 7 0 14 7 3 7 14 0 7 14 3 7 3 0 3 7 3 14 3 0 14 3 14 7 14 3 14 0 14 7 0 14 0 3 14 3 7 3 14 0 3 0 7 0 3 14 0 14 7 0 7 3 0 14 3 14 7 14 0 7 14 7 3 0 7 0 14 0 7 0 3 0 7 14 3 14 0 3 0 7 0 3 0 14 3 0 3 7 3 14 3 7 3 0 7 3 14 0 7 14 7 3 7 14 0 7 0 3 0 7 0 14 0 3 7 3 14 7 3 7 0 3 7 3 14 0 14 7 14 3 14 7 14 0 7 3 7 0 7 14 0 3 7 14 3 7 3 0 3 7 3 14 3 0 14 3 14 7 14 3 14 0 3 0 7 14 3 14 7 14 0 14 7 14 3 7 0 7 14 3 14 0 3 0 7 0 14 7 3 7 14 0 7 14 3 14 0 3 14 3 7 3 0 7 3 7 14 0 7 0 3 0 7 0 14 0 7 3 14 7 14 0 14 7 14 3 14 0 3 14 3 7 0 14 0 7 0 3 0 7 14 3 14 0 3 14 3 7 3 14 3 0 3 7 0 3 0 14 3 7 14 0 7 0 3 0 7 0 14 0 7 3 7 14 7 0 7 14 7 3 14 3 0 7 0 3 0 14 3 7 3 14 3 0 14 7 0 3 14 0 14 7 14 0 14 3 14 7 0 3 0 14 0 7 3 14 7 0 7 14 7 0

next record (353) →

Alphabet {0, 3, 7, 14}

size 4 · diameter 14 · record length 353 · 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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