A190990 a(n) = 10*a(n-1) - 8*a(n-2), with a(0)=0, a(1)=1.

0, 1, 10, 92, 840, 7664, 69920, 637888, 5819520, 53092096, 484364800, 4418911232, 40314193920, 367790649344, 3355392942080, 30611604226048, 279272898723840, 2547836153430016, 23244178344509440, 212059094217654272, 1934637515420467200, 17649902400463437824

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,-8).

Formula

G.f.: x / ( 1-10*x+8*x^2 ). - R. J. Mathar, May 26 2011

E.g.f.: (1/sqrt(17))*exp(5*x)*sinh(sqrt(17)*x). - G. C. Greubel, Sep 15 2022

Mathematica

LinearRecurrence[{10, -8}, {0, 1}, 50]

Prog

(Magma) [Round(2^(3*(n-1)/2)*Evaluate(ChebyshevU(n), 5/(2*Sqrt(2)))): n in [0..30]]; // G. C. Greubel, Sep 15 2022
(SageMath)
A190990 = BinaryRecurrenceSequence(10, -8, 0, 1)
[A190990(n) for n in (0..30)] # G. C. Greubel, Sep 15 2022
(PARI) a(n)=([0, 1; -8, 10]^n*[0; 1])[1, 1] \\ Charles R Greathouse IV, May 20 2026

Crossrefs

Cf. A190958 (index to generalized Fibonacci sequences)

Sequence in context: A228420 A037534 A120996 * A287829 A265242 A262173

Adjacent sequences: A190987 A190988 A190989 * A190991 A190992 A190993

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, May 24 2011

Status

approved