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A164442 Number of binary strings of length n with no substrings equal to 0000 0111 or 1001 1
13, 21, 33, 51, 79, 122, 188, 289, 444, 682, 1047, 1607, 2466, 3784, 5806, 8908, 13667, 20968, 32169, 49353, 75716, 116161, 178210, 273403, 419444, 643494, 987222, 1514555, 2323567, 3564719, 5468842, 8390067, 12871687, 19747199, 30295319 (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 (1,1,0,0,0,-1).

FORMULA

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

CROSSREFS

Sequence in context: A164450 A164461 A164499 * A164488 A164436 A164498

Adjacent sequences:  A164439 A164440 A164441 * A164443 A164444 A164445

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified December 12 22:57 EST 2018. Contains 318081 sequences. (Running on oeis4.)