Additive Squares

Word of length 337 over {0, 3, 8, 12}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 338jump to the current record (338).

0100200300-100-500 position in word → partial sum

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

0 8 0 3 0 8 12 0 8 3 8 12 8 0 12 3 0 8 0 3 12 3 8 3 12 0 8 12 3 8 12 8 0 8 12 8 3 8 0 3 12 0 8 0 3 8 3 12 3 8 0 3 0 12 0 3 0 8 0 12 8 0 8 3 0 12 3 12 8 12 0 8 3 8 12 0 8 0 3 0 12 3 0 3 8 12 3 12 0 12 3 12 8 12 0 3 0 8 12 8 3 12 8 12 0 12 3 12 8 3 12 3 0 3 8 3 12 8 3 8 0 12 0 3 0 8 3 8 12 8 3 0 8 3 8 12 3 12 0 12 8 12 3 8 0 8 12 0 8 0 3 0 12 3 8 3 0 12 0 8 12 0 12 3 12 8 3 12 3 0 3 8 0 3 0 12 0 8 0 3 8 3 12 3 8 0 8 12 0 8 0 3 0 12 0 3 0 8 3 0 3 12 3 0 3 8 3 12 8 3 8 0 3 0 12 0 3 0 8 0 3 12 8 3 8 0 8 3 12 8 12 0 12 3 12 8 12 0 8 0 3 8 0 8 12 0 8 0 3 8 3 12 8 3 0 8 0 12 0 3 8 3 12 3 0 3 12 3 8 12 8 0 8 12 8 3 12 8 12 0 12 3 12 8 3 12 3 0 3 12 3 8 3 0 8 3 8 12 8 0 8 12 8 3 12 8 0 3 12 3 0 3 12 8 0 3 8 0 8 12 8 0 8 3 0 3 12 0 3 0 8 12 8 0 3 8 3

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Alphabet {0, 3, 8, 12}

size 4 · diameter 12 · record length 338 · 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

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