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A164503 Number of binary strings of length n with no substrings equal to 0011 0101 or 0110 1
13, 21, 34, 55, 87, 136, 211, 326, 501, 766, 1166, 1769, 2676, 4037, 6075, 9122, 13671, 20453, 30551, 45569, 67881, 100998, 150109, 222879, 330625, 490048, 725783, 1074153, 1588694, 2348284, 3469100, 5122202, 7559387, 11151195, 16442768 (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,-1,1,0,-1,0,-1).

FORMULA

G.f. -x^4*(-13+5*x-5*x^2+5*x^3+10*x^4+4*x^5+8*x^6) / ( (x^3+x-1)*(x^4+x-1) ). - R. J. Mathar, Jan 19 2011

MATHEMATICA

LinearRecurrence[{2, -1, 1, 0, -1, 0, -1}, {13, 21, 34, 55, 87, 136, 211}, 40] (* Harvey P. Dale, Sep 28 2017 *)

CROSSREFS

Sequence in context: A164479 A164431 A164497 * A067516 A164449 A164439

Adjacent sequences:  A164500 A164501 A164502 * A164504 A164505 A164506

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified September 20 16:50 EDT 2021. Contains 347586 sequences. (Running on oeis4.)