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, 830, 0, 0, 0, -1).
FORMULA
G.f.: -(x^2-3*x-1)*(x^4+8*x^2+1) / (x^8-830*x^4+1). - Colin Barker, Nov 19 2013
a(n) = 830*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 20 2013
MATHEMATICA
Denominator[Convergents[Sqrt[299], 30]] (* Harvey P. Dale, May 02 2012 *)
CoefficientList[Series[(1 + 3 x - x^2) (x^4 + 8 x^2 + 1)/(x^8 - 830 x^4+1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 20 2013 *)
PROG
(Magma) I:=[1, 3, 7, 24, 823, 2493, 5809, 19920]; [n le 8 select I[n] else 830*Self(n-4)-Self(n-8): 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