Length 467 over {0, 1, 2, 3, 4, 6}

Word of length 467 over {0, 1, 2, 3, 4, 6}

by David Renshaw, 2026-08-19 · the current record for this alphabet · JSON

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

0 4 3 2 0 4 0 2 0 1 2 0 6 4 1 2 0 1 4 3 6 3 0 4 2 1 2 4 3 2 3 6 4 2 1 2 3 6 4 2 4 6 4 2 3 6 2 4 2 3 1 2 1 0 6 4 6 3 4 3 2 4 0 2 4 1 4 0 1 0 3 0 6 4 0 1 6 0 2 6 4 3 4 2 1 6 4 0 2 4 0 3 2 3 0 1 0 2 0 3 2 0 4 2 4 1 0 6 2 1 6 4 2 4 1 0 6 0 2 0 1 3 0 6 1 6 3 6 2 6 1 2 3 2 0 2 3 4 0 4 6 4 2 6 4 6 3 2 6 4 0 6 4 6 2 0 4 0 2 0 3 0 1 0 3 2 0 4 6 2 4 6 4 1 0 6 4 6 2 6 4 3 1 2 0 2 3 1 6 2 6 0 6 4 3 0 4 0 6 4 6 2 4 3 6 4 6 2 4 6 4 1 3 6 4 6 2 6 4 6 1 6 2 4 0 2 0 6 1 3 2 4 6 4 1 3 6 3 1 2 1 0 4 1 0 3 1 6 2 3 2 6 4 6 3 1 0 2 3 1 3 6 4 1 6 3 6 4 6 2 6 4 6 3 1 3 6 4 2 0 4 1 0 3 4 1 2 0 4 0 1 4 3 0 4 6 2 6 4 0 4 6 3 2 1 3 1 0 2 0 1 0 6 2 1 0 1 3 1 0 2 1 0 1 6 0 6 4 0 2 0 1 3 4 6 0 1 6 0 3 0 1 6 4 6 3 6 4 6 2 4 3 0 1 0 2 0 4 3 2 0 6 2 3 6 3 4 6 0 1 4 2 0 1 0 3 6 0 1 0 2 0 1 0 4 0 2 0 1 0 3 4 2 4 0 3 6 3 4 0 1 0 3 4 0 2 0 4 0 1 0 2 1 4 1 2 0 2 6 4 0 6 4 6 3 2 4 0 4 6 3 2 1 0 4 6 0 2 6 0 1 0 2 6 2 0 4 2 6 2 4 3 4 6 4 3 4 1 2 6 2 0 4 0 6 2 3

Alphabet {0, 1, 2, 3, 4, 6}

size 6 · diameter 6 · record length 467 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

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Record history

467 (first) — David Renshaw, 2026-08-19

Comments

David Renshaw · 2026-08-19 15:06 UTC

Found by randomized depth-first search over {0,1,2,3,4,6}, rejecting an appended symbol whenever it closed an additive square. Four branches ran in parallel for about ten minutes: three fresh starts and one branch from a 24-letter reversed, rank-mapped prefix of the {0,1,2,3,4,5} record. This 467-letter word came from fresh seed 87104 with a 30-billion-node search cap.

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