A164504 Number of binary strings of length n with no substrings equal to 0011 0101 or 1010.

13, 22, 36, 58, 93, 148, 234, 368, 576, 898, 1395, 2160, 3335, 5136, 7891, 12098, 18512, 28276, 43119, 65654, 99826, 151586, 229904, 348290, 527077, 796846, 1203561, 1816264, 2738601, 4126078, 6211884, 9345518, 14050545, 21110920, 31699962

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,-1,2,-2,0,-1).

Formula

G.f.: -x^4*(-13+4*x-5*x^2+18*x^3+5*x^4+8*x^5) / ( (x^3+x-1)^2 ). - R. J. Mathar, Jan 19 2011

Mathematica

LinearRecurrence[{2, -1, 2, -2, 0, -1}, {13, 22, 36, 58, 93, 148}, 40] (* Harvey P. Dale, Nov 13 2015 *)

Crossrefs

Sequence in context: A336263 A059408 A164455 * A162245 A159302 A172187

Adjacent sequences: A164501 A164502 A164503 * A164505 A164506 A164507

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved