Additive Squares

Word of length 219 over {0, 1, 6, 9}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 220jump to the current record (220).

050100150200-60-40-200 position in word → partial sum

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

0 1 0 6 0 1 0 9 0 1 0 6 1 0 1 9 1 0 1 6 1 9 6 0 6 9 1 9 6 0 9 0 1 0 6 0 1 0 9 1 6 1 0 6 1 6 9 1 9 0 6 9 6 1 9 6 9 0 1 0 6 0 9 6 1 9 6 9 0 9 6 9 1 9 0 1 9 1 6 9 0 6 1 0 1 9 1 6 0 6 1 6 9 1 9 0 9 1 6 9 6 0 9 0 1 0 6 0 1 0 9 1 0 1 6 1 9 6 0 6 9 1 9 0 6 0 1 6 1 9 1 0 1 6 0 1 0 9 0 1 0 6 0 9 6 0 6 1 0 9 0 1 0 6 1 9 6 1 0 6 9 1 9 6 9 0 9 6 1 0 1 9 0 1 0 6 0 9 6 1 6 0 1 6 1 9 1 0 1 6 0 1 0 9 6 9 0 9 1 6 1 0 9 1 9 6 9 0 9 6 9 1 6 0 9 0 6 0 9

next record (220) →

Alphabet {0, 1, 6, 9}

size 4 · diameter 9 · record length 220 · 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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