Length 205 over {0, 1, 4, 8} — Additive Squares

Word of length 205 over {0, 1, 4, 8}

by Aayush Rajasekaran, 2026-08-30 · JSON

This is a historical record from 2026-08-30, superseded on 2026-08-31 by length 215 — jump to the current record (215).

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

8 1 0 8 0 4 0 1 8 1 4 1 8 0 8 1 4 8 0 4 8 4 1 0 8 0 1 0 4 0 1 0 8 1 4 1 0 8 1 8 4 8 0 4 0 1 0 8 1 0 1 4 1 8 1 0 8 1 8 4 8 1 8 0 1 0 4 8 1 8 4 8 0 8 4 8 1 4 0 4 8 0 4 0 1 4 1 8 4 8 0 8 4 1 8 1 0 1 4 1 0 1 8 0 1 0 4 8 1 4 8 4 0 8 0 1 0 4 0 1 0 8 1 0 1 4 8 4 0 1 0 8 1 0 1 4 1 0 1 8 1 4 8 1 8 0 4 0 1 8 0 8 4 8 1 8 4 8 0 4 8 1 4 0 8 0 4 0 1 8 1 4 0 4 8 1 8 0 1 8 1 4 1 0 1 8 0 1 0 4 0 1 0 8 0 4 8 1 4 1 0 1 4 1 8

Alphabet {0, 1, 4, 8}

size 4 · diameter 8 · record length 215 · 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

215 (was 205) — Aayush Rajasekaran, 2026-08-31
205 (was 195) — Aayush Rajasekaran, 2026-08-30
195 (was 194) — Aayush Rajasekaran, 2026-08-26
194 (first) — Aayush Rajasekaran, 2026-08-20

Comments

Aayush Rajasekaran · 2026-08-30 19:36 UTC

Found by parallel randomized DFS with frontier-biased restarts. Our exhaustive search additionally proves the exact maximum over this alphabet is 215 (closure claim to follow); this witness has length 205.

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