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A004004
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a(n) = (3^{2n+1} - 8*n - 3)/16.
(Formerly M4943)
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10
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0, 1, 14, 135, 1228, 11069, 99642, 896803, 8071256, 72641337, 653772070, 5883948671, 52955538084, 476599842805, 4289398585298, 38604587267739, 347441285409712, 3126971568687473
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OFFSET
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0,3
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COMMENTS
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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G.f. -x*(1+3*x)/(9*x-1)/(x-1)^2; - Simon Plouffe in his 1992 dissertation.
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MATHEMATICA
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LinearRecurrence[{11, -19, 9}, {0, 1, 14}, 100] (* G. C. Greubel, Jul 06 2016 *)
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CROSSREFS
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Equals the second right hand column of triangle A162005 divided by 2.
(End)
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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