A234005 Number of binary words of length n avoiding the subword given by the binary expansion of n.

1, 1, 3, 5, 12, 21, 33, 81, 177, 338, 667, 1178, 2031, 4105, 6872, 20569, 42744, 84457, 167863, 315633, 590081, 1325032, 2366125, 4408350, 8146016, 16474904, 30266484, 67320433, 112454976, 230099960, 417825921, 1333610936, 2714234540, 5411487988, 10800172911

Offset: 0

Author

Alois P. Heinz, Dec 18 2013

Keywords

• nonn

Examples

			a(0) = 1: the empty word.
a(1) = 1: 0.
a(2) = 3: 00, 01, 11.
a(3) = 5: 000, 001, 010, 100, 101.
a(4) = 12: 0000, 0001, 0010, 0011, 0101, 0110, 0111, 1010, 1011, 1101, 1110, 1111.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000

Crossrefs

Main diagonal of A209972.

Column k=0 of A233940.