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 A164403 Number of binary strings of length n with no substrings equal to 0010 or 1001 1
 14, 25, 45, 80, 143, 255, 455, 812, 1449, 2586, 4615, 8236, 14698, 26230, 46810, 83537, 149080, 266048, 474789, 847308, 1512105, 2698501, 4815742, 8594168, 15337143, 27370649, 48845631, 87169861, 155563241, 277617994, 495436776, 884155942 (list; graph; refs; listen; history; text; internal format)
 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,-1,0,1). FORMULA G.f.: x^4*(14-3*x-5*x^2+4*x^3+8*x^4)/(1-2*x+x^3-x^5). - R. J. Mathar, Nov 30 2011 MATHEMATICA LinearRecurrence[{2, 0, -1, 0, 1}, {14, 25, 45, 80, 143}, 50] (* G. C. Greubel, Sep 19 2017 *) PROG (PARI) x='x+O('x^50); Vec(x^4*(14-3*x-5*x^2+4*x^3+8*x^4)/(1-2*x+x^3-x^5)) \\ G. C. Greubel, Sep 19 2017 CROSSREFS Sequence in context: A020227 A032608 A341171 * A164398 A174519 A079505 Adjacent sequences: A164400 A164401 A164402 * A164404 A164405 A164406 KEYWORD nonn AUTHOR R. H. Hardin, Aug 14 2009 STATUS approved

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Last modified December 9 07:09 EST 2022. Contains 358698 sequences. (Running on oeis4.)