Additive Squares

Word of length 106 over {0, 1, 3, 7}

by David Renshaw, 2026-08-18 · JSON

This is a historical record from 2026-08-18, superseded on 2026-08-20 by length 139jump to the current record (141).

020406080100-30-20-100 position in word → partial sum

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

1 3 0 3 7 3 1 7 3 7 0 3 0 1 3 0 7 0 3 0 1 3 1 7 0 7 3 0 7 1 3 0 7 3 7 1 7 3 7 0 7 1 0 7 0 3 0 7 0 1 0 3 1 3 7 0 7 1 7 3 7 1 7 0 1 0 3 1 3 7 1 0 3 0 1 0 7 0 1 3 0 1 7 1 0 1 3 1 0 7 3 7 1 3 1 0 7 3 0 3 1 0 3 7 1 7

next record (139) →

Alphabet {0, 1, 3, 7}

size 4 · diameter 7 · record length 141 · 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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