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.: -(x^2-2*x-1) / ((x^2-10*x-1)*(x^2+10*x-1)). - Colin Barker, Dec 05 2013
a(n) = 102*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 18 2014
MATHEMATICA
Denominator[Convergents[Sqrt[650], 30]] (* Harvey P. Dale, May 08 2012 *)
CoefficientList[Series[(1 + 2 x - x^2)/(x^4 - 102 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 18 2014 *)
PROG
(Magma) I:=[1, 2, 101, 204]; [n le 4 select I[n] else 102*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jan 18 2014
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
Additional term from Colin Barker, Dec 05 2013
STATUS
approved