Additive Squares

Alphabet {0, 1, 3, 4}

size 4 · diameter 4 · record length 55 · JSON

closed The exact maximum additive-square-free word length over this alphabet is 55. exhaustive search (search.c), 659,726 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 4 0 3 0 1 4 1 0 1 4 3 4 1 4 0 1 0 3 0 1 0 4 1 0 3 4 1 0 4 1 4 3 4 1 4 0 1 0 3 0 1 4 1 0 1 4 3 4 0 1 4 1

History

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

← all alphabets