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A164478
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Number of binary strings of length n with no substrings equal to 0001 0110 or 1010
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1
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13, 20, 31, 49, 78, 123, 193, 303, 476, 748, 1175, 1845, 2897, 4549, 7143, 11216, 17611, 27652, 43418, 68173, 107042, 168072, 263898, 414359, 650605, 1021546, 1603978, 2518482, 3954388, 6208972, 9749001, 15307368, 24034823, 37738213, 59254554
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internal format)
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OFFSET
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4,1
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LINKS
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R. H. Hardin, Table of n, a(n) for n=4..500
Index entries for linear recurrences with constant coefficients, signature (2,-1,1,-1,1,-1).
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FORMULA
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G.f. -x^4*(-13+6*x-4*x^2+6*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5+x^3+x-1) ). - R. J. Mathar, Jan 19 2011
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MATHEMATICA
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LinearRecurrence[{2, -1, 1, -1, 1, -1}, {13, 20, 31, 49, 78, 123}, 40] (* Harvey P. Dale, Sep 22 2020 *)
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CROSSREFS
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Sequence in context: A164484 A164502 A164474 * A164463 A164470 A164469
Adjacent sequences: A164475 A164476 A164477 * A164479 A164480 A164481
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Aug 14 2009
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STATUS
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approved
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