Additive Squares

Word of length 238 over {0, 1, 3, 10}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 239jump to the current record (239).

050100150200050100 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

0 1 0 3 0 1 0 10 0 1 0 3 1 0 1 10 1 3 1 0 3 0 10 0 1 0 10 0 3 10 0 1 10 3 1 3 0 1 0 10 3 0 1 10 1 3 10 1 10 0 10 1 10 3 10 0 3 1 3 10 0 3 0 1 3 0 3 10 1 10 3 0 10 0 1 0 10 0 3 0 1 3 1 10 1 0 1 3 0 1 0 10 0 1 0 3 1 3 10 0 1 0 10 0 3 0 10 0 1 10 3 10 0 3 0 1 3 0 3 10 3 1 10 1 0 10 1 10 3 10 0 3 0 1 0 10 0 3 10 0 10 1 10 0 10 3 10 1 3 10 3 0 10 1 10 0 10 3 10 0 1 10 1 3 1 0 1 10 0 1 0 3 10 0 10 1 10 0 10 3 10 0 1 3 1 10 1 3 0 3 10 3 0 1 0 10 1 0 1 3 1 0 1 10 1 3 10 0 10 1 0 10 0 3 0 1 0 10 1 10 3 10 0 10 1 10 3 1 0 1 10 3 10 0 3 0 1 3

next record (239) →

Alphabet {0, 1, 3, 10}

size 4 · diameter 10 · record length 239 · 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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