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A190990
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a(n) = 10*a(n-1) - 8*a(n-2), with a(0)=0, a(1)=1.
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3
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0, 1, 10, 92, 840, 7664, 69920, 637888, 5819520, 53092096, 484364800, 4418911232, 40314193920, 367790649344, 3355392942080, 30611604226048, 279272898723840, 2547836153430016, 23244178344509440, 212059094217654272, 1934637515420467200, 17649902400463437824
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..21.
Index entries for linear recurrences with constant coefficients, signature (10,-8)
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FORMULA
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G.f. x / ( 1-10*x+8*x^2 ). - R. J. Mathar, May 26 2011
a(n)=1/34*sqrt(17)*((5+sqrt(17))^n-(5-sqrt(17))^n), Paolo P. Lava, May 31 2011
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MATHEMATICA
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LinearRecurrence[{10, -8}, {0, 1}, 50]
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CROSSREFS
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Cf. A190958 (index to generalized Fibonacci sequences)
Sequence in context: A228420 A037534 A120996 * A287829 A265242 A262173
Adjacent sequences: A190987 A190988 A190989 * A190991 A190992 A190993
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KEYWORD
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nonn
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, May 24 2011
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STATUS
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approved
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