Length 147 over {0, 1, 2, 7} — Additive Squares

Word of length 147 over {0, 1, 2, 7}

by Aayush Rajasekaran, 2026-08-30 · JSON

This is a historical record from 2026-08-30, superseded on 2026-08-30 by length 148 — jump to the current record (148).

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

0 7 0 1 2 1 0 1 2 7 0 2 1 0 2 7 0 7 1 7 0 7 2 7 1 2 7 2 0 2 1 0 7 1 2 0 1 0 7 0 1 0 2 0 7 2 1 2 7 2 0 7 0 1 7 0 7 2 7 1 7 2 7 0 2 7 2 1 2 0 1 2 1 7 0 7 2 7 1 7 2 7 0 2 0 1 0 7 0 2 0 1 2 1 7 2 0 2 1 0 2 0 7 0 1 0 7 0 2 7 1 7 0 2 0 1 2 0 2 7 1 7 2 7 0 7 2 7 1 2 1 0 2 1 2 7 1 2 1 0 7 0 1 0 2 1 2

Alphabet {0, 1, 2, 7}

size 4 · diameter 7 · record length 148 · 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

148 (was 147) — Aayush Rajasekaran, 2026-08-30
147 (was 146) — Aayush Rajasekaran, 2026-08-30
146 (first) — Aayush Rajasekaran, 2026-08-20

Comments

Aayush Rajasekaran · 2026-08-30 19:00 UTC

Found by parallel randomized DFS with frontier-biased restarts. Our exhaustive search additionally proves the exact maximum over this alphabet is 148 (closure claim to follow); this witness has length 147.

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