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A164410 Number of binary strings of length n with no substrings equal to 0000 0001 or 0101 1
13, 22, 38, 64, 108, 184, 312, 528, 896, 1520, 2576, 4368, 7408, 12560, 21296, 36112, 61232, 103824, 176048, 298512, 506160, 858256, 1455280, 2467600, 4184112, 7094672, 12029872, 20398096, 34587440, 58647184, 99443376, 168618256 (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).

FORMULA

G.f.: x^4*(13+9*x+16*x^2)/(1-x-2*x^3). - R. J. Mathar, Nov 30 2011

MATHEMATICA

LinearRecurrence[{1, 0, 2}, {13, 22, 38}, 50] (* G. C. Greubel, Sep 19 2017 *)

PROG

(PARI) x='x+O('x^50); Vec(x^4*(13+9*x+16*x^2)/(1-x-2*x^3)) \\ G. C. Greubel, Sep 19 2017

CROSSREFS

Sequence in context: A164414 A164456 A164443 * A164421 A164493 A164509

Adjacent sequences:  A164407 A164408 A164409 * A164411 A164412 A164413

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified November 19 08:51 EST 2017. Contains 294923 sequences.