A164421 Number of binary strings of length n with no substrings equal to 0000 0010 or 1001

13, 22, 38, 65, 111, 189, 322, 549, 936, 1596, 2721, 4639, 7909, 13484, 22989, 39194, 66822, 113925, 194231, 331145, 564570, 962537, 1641032, 2797800, 4769977, 8132347, 13864861, 23638240, 40300901, 68709118, 117142366, 199716345

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 (1,1,0,0,1).

Formula

G.f.: -x^4*(13+9*x+3*x^2+5*x^3+8*x^4) / ( -1+x+x^2+x^5 ). - R. J. Mathar, Nov 28 2011

Crossrefs

Sequence in context: A164427 A164456 A164410 * A164493 A164445 A164418

Adjacent sequences: A164418 A164419 A164420 * A164422 A164423 A164424

Keyword

nonn

Author

R. H. Hardin, Aug 14 2009

Status

approved