A042828 Numerators of continued fraction convergents to sqrt(945).

30, 31, 92, 123, 830, 10083, 61328, 71411, 204150, 275561, 16737810, 17013371, 50764552, 67777923, 457432090, 5556963003, 33799210108, 39356173111, 112511556330, 151867729441, 9224575322790, 9376443052231, 27977461427252, 37353904479483, 252100888304150

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,551122,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -30*x^18 +31*x^17 -92*x^16 +123*x^15 -830*x^14 +10083*x^13 -61328*x^12 +71411*x^11 -204150*x^10 -275561*x^9 -204150*x^8 -71411*x^7 -61328*x^6 -10083*x^5 -830*x^4 -123*x^3 -92*x^2 -31*x -30) / (x^20 -551122*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Numerator[Convergents[Sqrt[945], 30]] (* Vincenzo Librandi, Dec 06 2013 *)

Crossrefs

Cf. A042829, A040914.

Sequence in context: A042802 A042800 A042826 * A042824 A042822 A042820

Adjacent sequences: A042825 A042826 A042827 * A042829 A042830 A042831

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved