login
A190982
a(n) = 9*a(n-1) - 5*a(n-2), with a(0)=0, a(1)=1.
2
0, 1, 9, 76, 639, 5371, 45144, 379441, 3189249, 26806036, 225308079, 1893742531, 15917142384, 133785568801, 1124484407289, 9451431821596, 79440464357919, 667707020113291, 5612160859230024, 47170912632503761, 396477409396383729, 3332442121404934756
OFFSET
0,3
FORMULA
G.f.: x/(1 - 9*x + 5*x^2). - Philippe Deléham, Oct 12 2011
E.g.f.: (2/sqrt(61))*exp(9*x/2)*sinh(sqrt(61)*x/2). - G. C. Greubel, Aug 26 2022
MATHEMATICA
LinearRecurrence[{9, -5}, {0, 1}, 50]
PROG
(Magma) [Round(5^((n-1)/2)*Evaluate(ChebyshevU(n), 9/(2*Sqrt(5)))): n in [0..30]]; // G. C. Greubel, Aug 26 2022
(SageMath)
A190982 = BinaryRecurrenceSequence(9, -5, 0, 1)
[A190982(n) for n in (0..30)] # G. C. Greubel, Aug 26 2022
CROSSREFS
Cf. A190958 (index to generalized Fibonacci sequences).
Sequence in context: A319957 A056339 A056329 * A082677 A185818 A324354
KEYWORD
nonn
AUTHOR
STATUS
approved