OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,3330,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -29*x^14 +30*x^13 -89*x^12 +119*x^11 -327*x^10 +446*x^9 -1219*x^8 -1665*x^7 -1219*x^6 -446*x^5 -327*x^4 -119*x^3 -89*x^2 -30*x -29) / (x^16 -3330*x^8 +1). - Colin Barker, Nov 09 2013
a(n) = 3330*a(n-8) - a(n-16). - Vincenzo Librandi, Dec 02 2013
MATHEMATICA
Numerator[Convergents[Sqrt[884], 30]] (* Harvey P. Dale, Nov 16 2011 *)
CoefficientList[Series[-(x^15 - 29 x^14 + 30 x^13 - 89 x^12 + 119 x^11 - 327 x^10 + 446 x^9 - 1219 x^8 - 1665 x^7 - 1219 x^6 - 446 x^5 - 327 x^4 - 119 x^3 - 89 x^2 - 30 x - 29)/(x^16 - 3330 x^8 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 02 2013 *)
PROG
(Magma) I:=[29, 30, 89, 119, 327, 446, 1219, 1665, 97789, 99454, 296697, 396151, 1088999, 1485150, 4059299, 5544449]; [n le 16 select I[n] else 3330*Self(n-8)-Self(n-16): n in [1..30]]; // Vincenzo Librandi, Dec 02 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 09 2013
STATUS
approved