Additive Squares

Word of length 268 over {0, 2, 3, 11}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 269jump to the current record (269).

050100150200250-40-200 position in word → partial sum

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

0 2 0 3 0 2 0 11 0 2 0 3 2 0 2 11 2 0 2 3 2 11 3 0 3 2 0 2 11 0 2 0 3 11 0 11 2 11 0 11 3 11 2 3 0 3 11 0 3 0 2 3 0 3 11 2 3 11 0 11 3 2 11 2 0 11 2 11 3 11 0 11 3 11 2 3 11 3 0 3 2 3 11 2 11 0 11 2 3 0 2 3 2 11 2 3 0 2 0 11 0 3 0 2 3 11 2 11 0 11 3 11 2 3 0 3 2 11 2 0 11 2 3 0 3 11 0 3 0 2 0 11 0 2 0 3 2 3 11 0 2 0 3 2 0 2 11 2 0 2 3 0 3 11 2 3 2 0 3 2 3 11 0 11 3 11 0 2 3 2 0 2 11 2 0 3 2 0 11 0 3 0 2 3 11 2 11 0 11 3 11 2 3 0 3 2 11 2 3 0 2 0 11 0 3 11 2 3 2 0 3 2 3 11 3 0 3 11 3 2 11 3 0 2 11 0 11 3 11 0 11 2 11 3 2 11 2 0 11 0 3 11 3 2 3 0 3 11 0 2 0 11 3 11 0 11 2 3 2 0 11 0 2 3 0 3 11 3

next record (269) →

Alphabet {0, 2, 3, 11}

size 4 · diameter 11 · record length 269 · 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.

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