login
A042116
Numerators of continued fraction convergents to sqrt(583).
2
24, 145, 169, 1328, 6809, 28564, 149629, 1075967, 1225596, 8429543, 405843660, 2443491503, 2849335163, 22388837644, 114793523383, 481562931176, 2522608179263, 18139820186017, 20662428365280, 142114390377697, 6842153166494736, 41195033389346113
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 16859086, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -24*x^18 +145*x^17 -169*x^16 +1328*x^15 -6809*x^14 +28564*x^13 -149629*x^12 +1075967*x^11 -1225596*x^10 -8429543*x^9 -1225596*x^8 -1075967*x^7 -149629*x^6 -28564*x^5 -6809*x^4 -1328*x^3 -169*x^2 -145*x -24) / (x^20 -16859086*x^10 +1). - Colin Barker, Dec 02 2013
MATHEMATICA
Numerator[Convergents[Sqrt[583], 30]] (* Vincenzo Librandi, Nov 17 2013 *)
CROSSREFS
Sequence in context: A129923 A064138 A158047 * A215756 A340639 A290313
KEYWORD
nonn,cofr,frac,easy,less
EXTENSIONS
More terms from Colin Barker, Dec 02 2013
STATUS
approved