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 A164396 Number of binary strings of length n with no substrings equal to 0001 or 0110. 1
 1, 2, 4, 8, 14, 24, 41, 70, 120, 205, 350, 597, 1018, 1736, 2960, 5047, 8605, 14671, 25013, 42645, 72706, 123957, 211335, 360306, 614287, 1047300, 1785545, 3044181, 5190033, 8848502, 15085836, 25719884, 43849902, 74759820, 127458225, 217303882 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS R. H. Hardin, Table of n, a(n) for n = 0..500 Index entries for linear recurrences with constant coefficients, signature (2,0,-1,0,1,-1). FORMULA a(n) = 2*a(n-1) - a(n-3) + a(n-5) - a(n-6). - Andrew Howroyd, Feb 14 2018 G.f.: (1 + x^3 - x^5)/((1 - x)*(1 - x - x^2 - x^5)). - R. J. Mathar, Nov 30 2011 MATHEMATICA LinearRecurrence[{2, 0, -1, 0, 1, -1}, {1, 2, 4, 8, 14, 24}, 50] (* G. C. Greubel, Sep 18 2017 *) PROG (PARI) Vec((1 + x^3 - x^5)/((1 - x)*(1 - x - x^2 - x^5)) + O(x^40)) \\ G. C. Greubel, Sep 18 2017 CROSSREFS Sequence in context: A178982 A164397 A164174 * A164400 A164405 A164163 Adjacent sequences: A164393 A164394 A164395 * A164397 A164398 A164399 KEYWORD nonn AUTHOR R. H. Hardin, Aug 14 2009 EXTENSIONS a(0)-a(3) prepended by Andrew Howroyd, Feb 14 2018 STATUS approved

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Last modified December 1 12:26 EST 2022. Contains 358468 sequences. (Running on oeis4.)