Additive Squares

Word of length 285 over {0, 1, 2, 11}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 286jump to the current record (286).

050100150200250-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

0 1 0 2 0 1 0 11 0 1 0 2 1 0 1 11 2 0 2 1 0 2 11 0 11 1 0 11 2 1 2 11 2 0 2 11 1 0 11 2 11 1 0 1 2 0 1 0 11 0 2 0 11 0 1 11 0 11 2 11 1 11 0 1 0 2 1 2 11 0 2 11 1 11 2 0 11 0 1 11 0 11 2 11 1 11 2 11 0 2 11 2 1 2 11 2 0 2 1 0 1 11 0 2 11 2 1 11 2 11 0 11 1 11 0 11 2 0 11 0 1 0 11 0 2 0 1 2 1 11 0 2 11 1 11 0 2 0 11 1 0 2 1 2 11 2 1 2 0 2 1 11 1 0 2 0 1 0 11 0 1 0 2 1 11 2 1 0 1 2 11 1 11 0 11 1 2 1 0 2 0 11 0 1 0 11 0 2 11 0 11 1 11 0 11 2 11 1 2 1 0 1 11 0 11 2 11 1 11 2 11 0 2 11 2 1 2 0 2 11 0 1 0 11 0 2 11 2 1 11 2 11 0 11 1 0 11 0 2 0 11 0 1 0 2 1 2 11 1 0 1 2 0 1 0 11 0 1 0 2 1 2 11 2 0 2 11 2 1 11 2 0 11 0 1 0 2 11 1 2 11 2 0 11 0

next record (286) →

Alphabet {0, 1, 2, 11}

size 4 · diameter 11 · record length 286 · 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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