Additive Squares

Word of length 290 over {0, 1, 6, 10}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 305jump to the current record (305).

050100150200250-500 position in word → partial sum

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

0 1 0 6 0 1 0 10 0 1 0 6 1 0 1 10 1 0 1 6 1 10 6 0 6 1 0 1 10 0 1 0 6 0 10 0 6 0 1 6 0 10 1 6 10 1 10 0 10 1 6 10 6 0 6 1 6 10 1 0 1 10 1 6 1 10 0 6 10 0 10 1 0 6 1 0 1 10 1 0 1 6 1 10 6 1 6 0 6 10 6 1 10 1 0 1 6 1 10 1 0 10 6 10 1 6 10 6 0 10 0 1 10 0 10 6 10 1 10 6 10 0 6 10 6 1 6 10 6 0 6 1 0 10 1 10 6 1 6 0 6 1 6 10 1 6 1 0 1 10 1 0 1 6 0 10 6 10 1 6 10 6 0 6 1 0 1 10 1 0 6 10 0 10 1 10 0 6 10 6 1 10 1 0 1 6 0 6 10 1 6 1 0 1 10 1 0 1 6 0 1 0 10 0 6 0 1 6 1 10 0 1 6 0 6 10 6 0 6 1 6 0 10 0 1 10 0 10 6 10 1 10 6 10 0 6 1 0 1 10 0 6 10 6 1 6 0 6 1 6 10 1 6 0 1 0 10 1 0 1 6 1 10 6 0 6 1 10 6 10 0 10 1 0 6 1 0 1 10 0 10 6 0 1 6 1 10 1 6 0

next record (305) →

Alphabet {0, 1, 6, 10}

size 4 · diameter 10 · record length 305 · 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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