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 A164506 Number of binary strings of length n with no substrings equal to 0011 0110 or 1001. 1
 13, 22, 37, 62, 104, 174, 291, 486, 812, 1356, 2265, 3782, 6316, 10546, 17611, 29406, 49104, 81992, 136913, 228614, 381744, 637430, 1064387, 1777302, 2967748, 4955524, 8274745, 13817126, 23071844, 38525274, 64329483, 107417166, 179365064 (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,-2,3,-2) FORMULA G.f.: -x^4*(-13+4*x+7*x^2-14*x^3+15*x^4) / ( (x-1)*(2*x^4-x^3+x^2+x-1) ). - R. J. Mathar, Jan 19 2011 MATHEMATICA LinearRecurrence[{2, 0, -2, 3, -2}, {13, 22, 37, 62, 104}, 40] (* Harvey P. Dale, Oct 17 2020 *) CROSSREFS Sequence in context: A164412 A164472 A164446 * A164440 A164435 A164425 Adjacent sequences: A164503 A164504 A164505 * A164507 A164508 A164509 KEYWORD nonn,easy AUTHOR R. H. Hardin, Aug 14 2009 STATUS approved

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Last modified June 19 05:57 EDT 2024. Contains 373492 sequences. (Running on oeis4.)