OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^14 -x^13 +3*x^12 -10*x^11 +63*x^10 -199*x^9 +461*x^8 -660*x^7 -461*x^6 -199*x^5 -63*x^4 -10*x^3 -3*x^2 -x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Dec 22 2013
a(n) = 39202*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 22 2013
MATHEMATICA
Denominator[Convergents[Sqrt[882], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
PROG
(Magma) I:=[1, 1, 3, 10, 63, 199, 461, 660, 38741, 39401, 117543, 392030, 2469723, 7801199, 18072121, 25873320]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 22 2013
STATUS
approved