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A164409
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Number of binary strings of length n with no substrings equal to 0000 0001 or 0100
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1
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13, 22, 39, 69, 121, 212, 372, 653, 1146, 2011, 3529, 6193, 10868, 19072, 33469, 58734, 103071, 180877, 317417, 557028, 977516, 1715421, 3010354, 5282803, 9270673, 16268897, 28549924, 50101624, 87922221, 154292742, 270764887, 475159253
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OFFSET
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4,1
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LINKS
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FORMULA
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G.f.: x^4*(13-4*x+8*x^2)/(1-2*x+x^2-x^3). - R. J. Mathar, Nov 30 2011
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MATHEMATICA
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LinearRecurrence[{2, -1, 1}, {13, 22, 39}, 50] (* G. C. Greubel, Sep 19 2017 *)
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PROG
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(PARI) x='x+O('x^50); Vec(x^4*(13-4*x+8*x^2)/(1-2*x+x^2-x^3)) \\ G. C. Greubel, Sep 19 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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