Additive Squares

Word of length 290 over {0, 3, 7, 11}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 291jump to the current record (291).

050100150200250-20020 position in word → partial sum

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

0 3 0 7 0 3 0 11 0 3 0 7 3 0 3 11 3 0 3 7 3 11 7 0 7 3 11 7 11 0 7 11 7 3 0 3 11 0 3 0 7 0 11 0 3 11 0 11 7 11 3 7 11 7 0 3 0 11 3 0 3 7 3 11 7 3 7 0 11 3 11 7 11 0 11 7 11 3 7 3 0 7 11 7 0 3 0 11 7 11 0 11 3 11 0 11 7 0 3 0 7 0 11 0 7 3 0 3 11 3 0 7 0 11 7 11 3 11 7 0 7 11 7 3 11 3 0 3 7 3 0 3 11 0 11 7 11 3 0 3 7 0 3 11 0 11 7 0 11 0 3 0 7 0 3 0 11 3 0 3 7 11 7 0 3 0 11 3 0 3 7 3 0 3 11 3 7 11 3 11 0 7 0 3 7 3 11 0 7 0 3 0 11 7 11 0 11 7 3 7 0 7 3 11 3 7 3 11 0 11 7 11 3 11 7 11 0 7 0 3 7 11 0 11 3 0 11 0 7 0 3 0 7 0 11 7 3 0 11 3 0 3 7 3 0 3 11 3 7 11 0 11 7 11 3 7 0 3 11 0 3 0 7 0 3 0 11 0 7 11 7 3 11 7 11 0 7 11 7 3 0 3 11 3 7 11 0 7 11 7

next record (291) →

Alphabet {0, 3, 7, 11}

size 4 · diameter 11 · record length 291 · 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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