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A164404
Number of binary strings of length n with no substrings equal to 0010 or 1011
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 14 2009
STATUS
approved