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A164436 Number of binary strings of length n with no substrings equal to 0000 0101 or 1110. 1
13, 21, 33, 52, 81, 126, 196, 304, 471, 730, 1131, 1751, 2711, 4198, 6499, 10060, 15574, 24110, 37321, 57772, 89433, 138441, 214301, 331736, 513525, 794922, 1230520, 1904828, 2948635, 4564414, 7065623, 10937451, 16930931, 26208714, 40570567 (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 (1,0,2,0,-1,-1).

FORMULA

G.f.: -x^4*(-13-8*x-12*x^2+7*x^3+13*x^4+8*x^5) / ( (x-1)*(x^5+2*x^4+2*x^3-1) ). - R. J. Mathar, Jan 19 2011

MATHEMATICA

LinearRecurrence[{1, 0, 2, 0, -1, -1}, {13, 21, 33, 52, 81, 126}, 40] (* Harvey P. Dale, Sep 01 2016 *)

CROSSREFS

Sequence in context: A164499 A164442 A164488 * A164498 A164485 A164447

Adjacent sequences:  A164433 A164434 A164435 * A164437 A164438 A164439

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified September 25 09:40 EDT 2021. Contains 347654 sequences. (Running on oeis4.)