A164404 Number of binary strings of length n with no substrings equal to 0010 or 1011

14, 24, 41, 70, 120, 206, 354, 608, 1044, 1792, 3076, 5280, 9064, 15560, 26712, 45856, 78720, 135136, 231984, 398240, 683648, 1173600, 2014688, 3458560, 5937216, 10192256, 17496768, 30036224, 51562368, 88515712, 151952512, 260852736

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).

Formula

G.f.: x^4*(14-4*x-7*x^2+16*x^3)/(1-2*x+2*x^3-2*x^4). - R. J. Mathar, Nov 30 2011

Mathematica

LinearRecurrence[{2, 0, -2, 2}, {14, 24, 41, 70}, 50] (* G. C. Greubel, Sep 19 2017 *)

Prog

(PARI) x='x+O('x^50); Vec(x^4*(14-4*x-7*x^2+16*x^3)/(1-2*x+2*x^3-2*x^4)) \\ G. C. Greubel, Sep 19 2017

Crossrefs

Sequence in context: A046290 A111743 A164399 * A211323 A141838 A140499

Adjacent sequences: A164401 A164402 A164403 * A164405 A164406 A164407

Keyword

nonn

Author

R. H. Hardin, Aug 14 2009

Status

approved