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, 0, 0, 358, 0, 0, 0, -1).
FORMULA
G.f.: (29 +30*x +149*x^2 +179*x^3 +149*x^4 -30*x^5 +29*x^6 -x^7)/(1 -358*x^4 +x^8). - Vincenzo Librandi, Dec 02 2013
a(n) = 358*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 02 2013
MATHEMATICA
Numerator[Convergents[Sqrt[890], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 149 x^2 + 179 x^3 + 149 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 358 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 02 2013 *)
PROG
(Magma) I:=[29, 30, 149, 179, 10531, 10710, 53371, 64081]; [n le 8 select I[n] else 358*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 02 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved