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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 (list; graph; refs; listen; history; text; internal format)
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, 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

Cf. A042117, A040558.

Sequence in context: A129923 A064138 A158047 * A215756 A290313 A042118

Adjacent sequences:  A042113 A042114 A042115 * A042117 A042118 A042119

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified February 29 08:26 EST 2020. Contains 332355 sequences. (Running on oeis4.)