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, 0, 0, 0, 0, 1909618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^22 -x^21 +6*x^20 -19*x^19 +63*x^18 -82*x^17 +555*x^16 -637*x^15 +2466*x^14 -8035*x^13 +42641*x^12 -50676*x^11 -42641*x^10 -8035*x^9 -2466*x^8 -637*x^7 -555*x^6 -82*x^5 -63*x^4 -19*x^3 -6*x^2 -x -1)/(x^24 -1909618*x^12 +1). - Vincenzo Librandi, Dec 22 2013
a(n) = 1909618*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Dec 22 2013
MATHEMATICA
Denominator/@Convergents[Sqrt[355], 40] (* Harvey P. Dale, May 11 2011 *)
CoefficientList[Series[-(x^22 - x^21 + 6 x^20 - 19 x^19 + 63 x^18 - 82 x^17 + 555 x^16 - 637 x^15 + 2466 x^14 - 8035 x^13 + 42641 x^12 - 50676 x^11 - 42641 x^10 - 8035 x^9 - 2466 x^8 - 637 x^7 - 555 x^6 - 82 x^5 - 63 x^4 - 19 x^3 - 6 x^2 - x - 1)/(x^24 - 1909618 x^12 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 22 2013 *)
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Harvey P. Dale, May 11 2011.
STATUS
approved