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A164402 Number of binary strings of length n with no substrings equal to 0010 or 0110 1
14, 24, 40, 68, 116, 200, 344, 592, 1016, 1744, 2992, 5136, 8816, 15136, 25984, 44608, 76576, 131456, 225664, 387392, 665024, 1141632, 1959808, 3364352, 5775488, 9914624, 17020160, 29218048, 50157824, 86104576, 147813376, 253747200 (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,-2,2)

FORMULA

G.f.: 2*x^4*(7-2*x-4*x^2+8*x^3)/(1-2*x+2*x^3-2*x^4). - R. J. Mathar, Nov 30 2011

MATHEMATICA

LinearRecurrence[{2, 0, -2, 2}, {14, 24, 40, 68}, 50] ( G. C. Greubel, Sep 19 2017 *)

PROG

(PARI) x='x+O('x^50); Vec(2*x^4*(7-2*x-4*x^2+8*x^3)/(1-2*x+2*x^3-2*x^4)) \\ G. C. Greubel, Sep 19 2017

CROSSREFS

Sequence in context: A171124 A046290 A111743 * A164399 A164396 A164404

Adjacent sequences:  A164399 A164400 A164401 * A164403 A164404 A164405

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified November 18 10:38 EST 2017. Contains 294887 sequences.