OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,1154,0,-1).
FORMULA
G.f.: -(x^3 - 24*x^2 - 577*x - 24)/(x^4 - 1154*x^2 + 1). - Vincenzo Librandi, Nov 16 2013
a(n) = 1154*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 16 2013
MATHEMATICA
Numerator[Convergents[Sqrt[578], 30]] (* or *) CoefficientList[Series[-(x^3 - 24 x^2 - 577 x - 24)/(x^4 - 1154 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)
LinearRecurrence[{0, 1154, 0, -1}, {24, 577, 27720, 665857}, 20] (* Harvey P. Dale, Jul 04 2015 *)
PROG
(Magma) I:=[24, 577, 27720, 665857]; [n le 4 select I[n] else 1154*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved