OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (16,1).
FORMULA
From Philippe Deléham, Nov 21 2008: (Start)
a(n) = 16*a(n-1) + a(n-2), with n > 1, a(0) = 8, a(1) = 129.
G.f.: (8 + x)/(1 - 16*x - x^2). (End)
E.g.f.: exp(8*x)*(8*cosh(sqrt(65)*x) + sqrt(65)*sinh(sqrt(65)*x)). - Stefano Spezia, Oct 28 2022
MATHEMATICA
CoefficientList[Series[(8 + x)/(1 - 16 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 29 2013 *)
Numerator[Convergents[Sqrt[65], 20]] (* or *) LinearRecurrence[{16, 1}, {8, 129}, 20] (* Harvey P. Dale, Nov 12 2013 *)
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved