OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,182,0,-1).
FORMULA
G.f.: (30 + 91*x + 30*x^2 - x^3)/(1 - 182*x^2 + x^4). - Vincenzo Librandi, Dec 04 2013, simplified by Colin Barker, Dec 23 2013
a(n) = 33122*a(n-4) - a(n-8) = 182*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 04 2013, reduced by Bruno Berselli, Dec 23 2013
MATHEMATICA
Numerator[Convergents[Sqrt[920], 30]] (* or *) CoefficientList[Series[(30 + 91 x + 30 x^2 - x^3)/(1 - 182 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 04 2013 *)
LinearRecurrence[{0, 182, 0, -1}, {30, 91, 5490, 16561}, 30] (* Harvey P. Dale, Oct 20 2024 *)
PROG
(Magma) I:=[30, 91, 5490, 16561]; [n le 4 select I[n] else 182*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 04 2013, reduced by Bruno Berselli, Dec 23 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 04 2013
STATUS
approved