Additive Squares

Alphabet {0, 1, 4, 5}

size 4 · diameter 5 · record length 55 · JSON

closed The exact maximum additive-square-free word length over this alphabet is 55. exhaustive search (search.c), 1,137,004 nodes

Record word (length 55, by David Renshaw, 2026-08-18)

Display: drawn for the equivalent alphabet translated by -2 (drift removed).

1 0 1 5 0 4 0 1 5 1 0 1 5 4 5 1 5 0 1 0 4 0 1 0 5 1 0 4 5 1 0 5 1 5 4 5 1 5 0 1 0 4 0 1 5 1 0 1 5 4 5 0 1 5 1

History

• 55 (first) — David Renshaw, 2026-08-18

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