Additive Squares

Alphabet {0, 1, 2, 4, 7}

size 5 · diameter 7 · record length 317 · JSON

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

Record word (length 317, by David Renshaw, 2026-08-18)

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

2 4 7 4 1 0 7 0 1 0 4 2 0 7 2 4 1 7 0 4 0 2 4 0 4 1 0 4 0 2 1 7 0 4 0 2 0 7 4 7 1 4 0 4 7 0 7 2 7 4 2 1 4 1 7 0 2 1 4 0 1 0 2 7 4 1 7 1 2 1 4 7 1 0 2 7 0 7 4 2 1 4 7 0 4 7 2 7 4 7 0 1 7 0 4 7 2 0 1 0 4 1 4 7 1 7 2 7 1 4 1 0 4 7 1 7 4 2 7 4 7 1 7 4 7 0 7 4 7 2 7 0 7 2 7 1 0 4 7 1 7 4 2 7 4 0 2 1 0 7 1 0 4 2 7 2 0 2 1 4 7 4 0 7 2 4 7 4 1 7 4 7 0 2 0 7 1 7 2 0 2 7 1 4 1 7 0 1 2 7 4 0 2 0 1 0 4 0 1 0 7 2 1 7 4 0 2 4 2 7 1 7 4 0 7 4 1 4 2 1 2 0 1 0 4 2 4 7 0 1 0 2 0 1 0 4 1 0 7 0 1 4 1 7 2 0 1 7 4 1 4 0 1 2 1 4 7 1 4 1 0 1 7 4 7 1 7 4 0 4 7 4 2 1 7 1 4 7 4 2 1 7 4 2 7 0 1 0 2 0 4 1 0 1 7 0 7 2 7 0 4 0 2 1 2 0 7 2 1 0 2 1 2 4 0 2 7

History

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