OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,7398,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10 -4*x^9 +5*x^8 -39*x^7 +44*x^6 -215*x^5 -44*x^4 -39*x^3 -5*x^2 -4*x -1) / ((x^6 -86*x^3 -1)*(x^6 +86*x^3 -1)). - Colin Barker, Nov 19 2013
a(n) = 7398*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 20 2013
MATHEMATICA
Denominator[Convergents[Sqrt[296], 40]] (* Harvey P. Dale, Jan 13 2012 *)
CoefficientList[Series[-(x^10 - 4 x^9 + 5 x^8 - 39 x^7 + 44 x^6 - 215 x^5 - 44 x^4 - 39 x^3 - 5 x^2 - 4 x - 1)/((x^6 - 86 x^3 - 1) (x^6 + 86 x^3 - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 20 2013 *)
PROG
(Magma) I:=[1, 4, 5, 39, 44, 215, 7354, 29631, 36985, 288526, 325511, 1590570]; [n le 12 select I[n] else 7398*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 19 2013
STATUS
approved