OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,100,0,-1).
FORMULA
G.f.: -(x^2-7*x-1) / (x^4-100*x^2+1). - Colin Barker, Nov 12 2013
a(n) = 100*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 11 2013
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[51], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Jun 23 2011 *)
CoefficientList[Series[(1 + 7 x - x^2)/(x^4 - 100 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 11 2013 *)
PROG
(Magma) I:=[1, 7, 99, 700]; [n le 4 select I[n] else 100*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 11 2013
CROSSREFS
KEYWORD
nonn,cofr,easy,frac
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 12 2013
STATUS
approved