OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,724,0,-1).
FORMULA
G.f.: -(x^2-19*x-1) / (x^4-724*x^2+1). - Colin Barker, Nov 21 2013
a(n) = 724*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 22 2013
MATHEMATICA
Denominator[Convergents[Sqrt[363], 20]] (* Harvey P. Dale, Dec 10 2013 *)
CoefficientList[Series[(1 + 19 x - x^2)/(x^4 - 724 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 22 2013 *)
PROG
(Magma) I:=[1, 19, 723, 13756]; [n le 4 select I[n] else 724*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
Additional term from Colin Barker, Nov 21 2013
STATUS
approved