OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 1684, 0, -1).
FORMULA
G.f.: (29 +842*x +29*x^2 -x^3)/(1 -1684*x^2 +x^4). - Vincenzo Librandi, Nov 30 2013
a(n) = 1684*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 30 2013
MATHEMATICA
Numerator[Convergents[Sqrt[843], 30]] (* or *) CoefficientList[Series[(29 + 842 x + 29 x^2 - x^3)/(1 - 1684 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 30 2013 *)
PROG
(Magma) I:=[29, 842, 48865, 1417927]; [n le 4 select I[n] else 1684*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 30 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved