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A164444 Number of binary strings of length n with no substrings equal to 0000 1001 or 1011 1
13, 21, 32, 48, 72, 109, 165, 250, 378, 572, 865, 1309, 1980, 2996, 4532, 6857, 10373, 15694, 23742, 35920, 54341, 82213, 124376, 188168, 284672, 430677, 651557, 985730, 1491282, 2256132, 3413241, 5163821, 7812212, 11818924, 17880556, 27051089 (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,-1,1).

FORMULA

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

MATHEMATICA

LinearRecurrence[{1, 1, -1, 1}, {13, 21, 32, 48}, 40] (* Harvey P. Dale, Sep 11 2017 *)

CROSSREFS

Sequence in context: A020440 A164458 A164452 * A164438 A164490 A164460

Adjacent sequences: A164441 A164442 A164443 * A164445 A164446 A164447

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified December 3 20:52 EST 2022. Contains 358543 sequences. (Running on oeis4.)