login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Numerators of continued fraction convergents to sqrt(848).
2

%I #16 Jun 13 2015 00:49:46

%S 29,233,728,2417,7979,66249,3850421,30869617,96459272,320247433,

%T 1057201571,8777860001,510173081629,4090162513033,12780660620728,

%U 42432144375217,140077093746379,1163048894346249,67596912965828821,541938352620976817

%N Numerators of continued fraction convergents to sqrt(848).

%H Vincenzo Librandi, <a href="/A042636/b042636.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,132498,0,0,0,0,0,-1).

%F G.f.: -(x^11 -29*x^10 +233*x^9 -728*x^8 +2417*x^7 -7979*x^6 -66249*x^5 -7979*x^4 -2417*x^3 -728*x^2 -233*x -29) / ((x^2 -7*x -1)*(x^2 +7*x -1)*(x^4 -7*x^3 +50*x^2 +7*x +1)*(x^4 +7*x^3 +50*x^2 -7*x +1)). - _Colin Barker_, Dec 20 2013

%t Numerator[Convergents[Sqrt[848], 30]] (* _Vincenzo Librandi_, Nov 30 2013 *)

%Y Cf. A042637, A040818.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013