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A190988
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a(n) = 10*a(n-1) - 6*a(n-2), with a(0)=0, a(1)=1.
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1
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0, 1, 10, 94, 880, 8236, 77080, 721384, 6751360, 63185296, 591344800, 5534336224, 51795293440, 484746917056, 4536697409920, 42458492596864, 397364741509120, 3718896459510016, 34804776146045440, 325734382703394304, 3048515170157670400, 28530745405356338176
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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,-6).
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FORMULA
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a(n) = (1/38)*sqrt(19)*((5+sqrt(19))^n - (5-sqrt(19))^n). - Paolo P. Lava, May 31 2011
G.f.: x/(1-10x+6*x^2). - Philippe Deléham, Oct 12 2011
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MATHEMATICA
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LinearRecurrence[{10, -6}, {0, 1}, 50]
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CROSSREFS
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Cf. A190958 (index to generalized Fibonacci sequences).
Sequence in context: A281203 A126633 A125422 * A287830 A259289 A163738
Adjacent sequences: A190985 A190986 A190987 * A190989 A190990 A190991
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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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