OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1370,0,0,0,-1).
FORMULA
G.f.: -(x^2-3*x-1)*(x^4+14*x^2+1) / (x^8-1370*x^4+1). - Colin Barker, Nov 18 2013
a(n) = 1370*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 19 2013
MATHEMATICA
Denominator/@Convergents[Sqrt[266], 20] (* Harvey P. Dale, Apr 11 2011 *)
CoefficientList[Series[(1 + 3 x - x^2) (x^4 + 14 x^2 + 1)/(x^8 - 1370 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 19 2013 *)
PROG
(Magma) I:=[1, 3, 13, 42, 1357, 4113, 17809, 57540]; [n le 8 select I[n] else 1370*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved