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A095940
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a(n+2) = 5a(n+1) - 3a(n) (n >= 1); a(0) = 0, a(1) = 1, a(2) = 4.
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2
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0, 1, 4, 17, 73, 314, 1351, 5813, 25012, 107621, 463069, 1992482, 8573203, 36888569, 158723236, 682950473, 2938582657, 12644061866, 54404561359, 234090621197, 1007239421908, 4333925245949, 18647907964021, 80237764082258
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=(1/2)*[5/2-(1/2)*sqrt(13)]^n-(3/26)*[5/2-(1/2)*sqrt(13)]^n*sqrt(13)+(3/26)*sqrt(13)*[5/2+(1 /2)*sqrt(13)]^n+(1/2)*[5/2+(1/2)*sqrt(13)]^n+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 02 2008]
G.f.: (x-x^2)/(3*x^2-5*x+1) [From Harvey P. Dale, Aug 20 2011]
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MATHEMATICA
| Join[{0}, LinearRecurrence[{5, -3}, {1, 4}, 30]] (* From Harvey P. Dale, Aug 20 2011 *)
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CROSSREFS
| Cf. A018902; equals A095934 - A095939.
Sequence in context: A085732 A083330 A018902 * A184700 A125586 A086351
Adjacent sequences: A095937 A095938 A095939 * A095941 A095942 A095943
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 13 2004
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 16 2004
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