A041964 - OEIS

%I #15 Jun 13 2015 00:49:38

%S 22,45,382,809,35978,72765,618098,1308961,58212382,117733725,

%T 1000082182,2117898089,94187598098,190493094285,1618132352378,

%U 3426757799041,152395475510182,308217708819405,2618137146065422

%N Numerators of continued fraction convergents to sqrt(505).

%H Vincenzo Librandi, <a href="/A041964/b041964.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1618,0,0,0,-1).

%F G.f.: (1 + x)*(22 + 23*x + 359*x^2 + 450*x^3 - 68*x^4 + 23*x^5 - x^6)/(1 - 1618*x^4 + x^8). [_Bruno Berselli_, Nov 12 2013]

%t Numerator[Convergents[Sqrt[505], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)

%Y Cf. A041965.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.