A041856 - OEIS

%I #18 Jun 13 2015 00:49:37

%S 21,85,106,297,1294,2885,4179,19601,827421,3329285,4156706,11642697,

%T 50727494,113097685,163825179,768398401,32436558021,130514630485,

%U 162951188506,456417007497,1988619218494,4433655444485,6422274662979,30122754096401,1271577946711821

%N Numerators of continued fraction convergents to sqrt(450).

%H Vincenzo Librandi, <a href="/A041856/b041856.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 (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -21*x^14 +85*x^13 -106*x^12 +297*x^11 -1294*x^10 +2885*x^9 -4179*x^8 -19601*x^7 -4179*x^6 -2885*x^5 -1294*x^4 -297*x^3 -106*x^2 -85*x -21) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - _Colin Barker_, Nov 26 2013

%t Numerator/@Convergents[Sqrt[450], 30] (* _Harvey P. Dale_, May 26 2011 *)

%Y Cf. A041857, A040428.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 26 2013