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 A190987 a(n) = 10*a(n-1) - 5*a(n-2), with a(0)=0, a(1)=1. 4
 0, 1, 10, 95, 900, 8525, 80750, 764875, 7245000, 68625625, 650031250, 6157184375, 58321687500, 552430953125, 5232701093750, 49564856171875, 469485056250000, 4447026281640625, 42122837535156250, 398993243943359375, 3779318251757812500, 35798216297861328125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (10,-5). FORMULA G.f.: x/(1 - 10*x + 5*x^2). - Philippe Deléham, Oct 12 2011 E.g.f.: (1/(2*sqrt(5)))*exp(5*x)*sinh(2*sqrt(5)*x). - G. C. Greubel, Sep 07 2022 MATHEMATICA LinearRecurrence[{10, -5}, {0, 1}, 50] PROG (Magma) [Round(5^((n-1)/2)*Evaluate(ChebyshevU(n), Sqrt(5))): n in [0..30]]; // G. C. Greubel, Sep 07 2022 (SageMath) A190987 = BinaryRecurrenceSequence(10, -5, 0, 1) [A190987(n) for n in (0..30)] # G. C. Greubel, Sep 07 2022 CROSSREFS Cf. A190958 (index to generalized Fibonacci sequences). Cf. A019934 (sqrt(5-2*sqrt(5))), A019952 (sqrt(5+2*sqrt(5))). Sequence in context: A287830 A259289 A163738 * A233738 A277441 A307021 Adjacent sequences: A190984 A190985 A190986 * A190988 A190989 A190990 KEYWORD nonn,easy AUTHOR Vladimir Joseph Stephan Orlovsky, May 24 2011 STATUS approved

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Last modified June 17 12:36 EDT 2024. Contains 373445 sequences. (Running on oeis4.)