OFFSET
0,3
LINKS
FORMULA
G.f.: x/(1 - 10*x + 4*x^2). - Philippe Deléham, Oct 12 2011
E.g.f.: (1/sqrt(21))*exp(5*x)*sinh(sqrt(21)*x). - G. C. Greubel, Sep 03 2022
a(n) = 2^(n-1)*S(n-1, 5), with the Chebyshev S-polynomial (see A049310) S(n-1, 5) = A004254(n). See the Magma program by G. C. Greubel. - Wolfdieter Lang, Nov 15 2023
MATHEMATICA
LinearRecurrence[{10, -4}, {0, 1}, 50]
PROG
(Magma) [2^(n-1)*Evaluate(ChebyshevU(n-1), 5/2): n in [0..30]]; // G. C. Greubel, Sep 03 2022
(SageMath)
A190986 = BinaryRecurrenceSequence(10, -4, 0, 1)
[A190986(n) for n in (0..30)] # G. C. Greubel, Sep 03 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vladimir Joseph Stephan Orlovsky, May 24 2011
STATUS
approved