A164490 Number of binary strings of length n with no substrings equal to 0010 0011 or 0110.

13, 21, 32, 50, 76, 117, 177, 270, 408, 620, 937, 1421, 2148, 3254, 4920, 7449, 11265, 17050, 25788, 39024, 59029, 89317, 135112, 204426, 309252, 467885, 707825, 1070886, 1620080, 2451028, 3708049, 5609885, 8486988, 12839854, 19425008

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,-2,2,-1)

Formula

G.f.: -x^4*(-13+5*x+10*x^2-12*x^3+8*x^4) / ( (x-1)*(x^4-x^3+x^2+x-1) ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164452 A164444 A164438 * A164460 A164448 A164424

Adjacent sequences: A164487 A164488 A164489 * A164491 A164492 A164493

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved