Cubefree Word
A cubefree word contains no cubed words as subwords. The number of binary cubefree words of length
, 2, ... are 2, 4, 6, 10, 16, 24, 36,
56, 80, 118, ... (OEIS A028445). Binary cubefree
words satisfy
The number of ternary cubefree words of length
, 2, ... are
3, 9, 24, 66, 180, 486, 1314, ... (OEIS A051042).
The number of quaternary cubefree words of length
, 2, ... are
4, 16, 60, 228, 864, 3264, 12336, ... (OEIS A051043).
arcsin 2