Additive Squares

Word of length 290 over {0, 4, 5, 12}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 320jump to the current record (320).

050100150200250050 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

0 4 0 5 0 4 0 12 0 4 0 5 4 0 4 12 4 0 4 5 4 12 5 0 5 4 0 4 12 0 4 0 5 0 12 5 4 12 5 12 0 4 0 5 4 5 12 4 0 12 4 12 5 12 4 12 0 12 5 0 5 4 5 0 5 12 5 4 0 4 5 4 12 5 12 0 12 5 4 12 4 0 12 4 12 5 12 0 12 5 12 4 5 12 5 0 5 4 5 12 4 12 0 12 5 12 0 12 4 0 5 0 4 0 12 4 12 5 12 4 12 0 4 12 4 5 0 12 0 4 0 5 0 4 0 12 4 12 5 4 0 4 5 12 5 4 0 5 0 12 0 5 4 0 4 12 0 4 0 5 0 12 0 5 0 4 5 0 5 12 5 4 5 0 4 0 12 5 0 12 4 12 5 4 12 4 0 4 5 0 4 0 12 0 5 12 4 12 5 12 0 12 5 4 12 4 0 12 4 12 5 12 0 12 5 12 4 5 12 5 0 5 4 0 12 4 12 5 12 4 0 12 0 5 12 0 12 4 5 4 0 5 0 12 0 4 0 5 4 0 4 12 4 5 12 5 0 5 4 5 12 5 0 12 4 12 0 5 0 4 12 0 5 4 5 12 5 0 4 12 4 5 4 0 12 0 4 0 5 0

next record (320) →

Alphabet {0, 4, 5, 12}

size 4 · diameter 12 · record length 320 · 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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