OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,102,0,-1).
FORMULA
G.f.: (1 + 5*x - x^2)/(1 - 102*x^2 + x^4). - Vincenzo Librandi, Dec 12 2013
a(n) = 102*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 12 2013
MATHEMATICA
Denominator[Convergents[Sqrt[104], 30]] (* or *) CoefficientList[Series[(1 + 5 x - x^2)/(1 - 102 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 12 2013 *)
LinearRecurrence[{0, 102, 0, -1}, {1, 5, 101, 510}, 30] (* Harvey P. Dale, Mar 12 2015 *)
PROG
(Magma) I:=[1, 5, 101, 510]; [n le 4 select I[n] else 102*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 12 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 12 2013
STATUS
approved