Additive Squares

Alphabet {0, 1, 3, 7}

size 4 · diameter 7 · record length 106 · JSON

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

Record word (length 106, by David Renshaw, 2026-08-18)

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

1 3 0 3 7 3 1 7 3 7 0 3 0 1 3 0 7 0 3 0 1 3 1 7 0 7 3 0 7 1 3 0 7 3 7 1 7 3 7 0 7 1 0 7 0 3 0 7 0 1 0 3 1 3 7 0 7 1 7 3 7 1 7 0 1 0 3 1 3 7 1 0 3 0 1 0 7 0 1 3 0 1 7 1 0 1 3 1 0 7 3 7 1 3 1 0 7 3 0 3 1 0 3 7 1 7

History

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