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A164393
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Number of binary strings of length n with no substrings equal to 0001 or 0011.
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1
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1, 2, 4, 8, 14, 25, 44, 76, 132, 228, 393, 678, 1168, 2012, 3466, 5969, 10280, 17704, 30488, 52504, 90417, 155706, 268140, 461760, 795190, 1369385, 2358196, 4061012, 6993404, 12043228, 20739449, 35715070, 61504344, 105915636, 182395602, 314100513
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internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 1/((1 - x)*(1 - x - x^2 - x^3 + x^4)). - R. J. Mathar, Dec 01 2011
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MATHEMATICA
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LinearRecurrence[{2, 0, 0, -2, 1}, {1, 2, 4, 8, 14}, 50] (* G. C. Greubel, Sep 18 2017 *)
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PROG
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(PARI) Vec(1/((1 - x)*(1 - x - x^2 - x^3 + x^4)) + O(x^40)) \\ G. C. Greubel, Sep 18 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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EXTENSIONS
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STATUS
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approved
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