A164479 Number of binary strings of length n with no substrings equal to 0001 0110 or 1011.

13, 21, 34, 54, 85, 133, 207, 322, 500, 776, 1204, 1867, 2895, 4488, 6957, 10784, 16715, 25908, 40156, 62239, 96466, 149514, 231734, 359167, 556676, 862797, 1337255, 2072621, 3212369, 4978871, 7716784, 11960291, 18537329, 28731120, 44530538

Offset

4,1

Links

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,0,-1,-1,2,-1).

Formula

G.f.: -x^4*(-13+5*x+8*x^2+x^3-11*x^4+8*x^5) / ( (x-1)*(x^5-x^4+x^2+x-1) ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164473 A164481 A164433 * A164497 A164503 A164449

Adjacent sequences: A164476 A164477 A164478 * A164480 A164481 A164482

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved