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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 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)