|
%I #12 Jun 13 2015 00:49:36
%S 18,19,56,75,281,637,1555,3747,12796,16543,45882,62425,2293182,
%T 2355607,7004396,9360003,35084405,79528813,194142031,467812875,
%U 1597580656,2065393531,5728367718,7793761249,286303772682,294097533931,874498840544,1168596374475
%N Numerators of continued fraction convergents to sqrt(351).
%H Vincenzo Librandi, <a href="/A041664/b041664.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 (0,0,0,0,0,0,0,0,0,0,0,124850,0,0,0,0,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^23 -18*x^22 +19*x^21 -56*x^20 +75*x^19 -281*x^18 +637*x^17 -1555*x^16 +3747*x^15 -12796*x^14 +16543*x^13 -45882*x^12 -62425*x^11 -45882*x^10 -16543*x^9 -12796*x^8 -3747*x^7 -1555*x^6 -637*x^5 -281*x^4 -75*x^3 -56*x^2 -19*x -18) / ((x^8 -50*x^4 +1)*(x^16 +50*x^12 +2499*x^8 +50*x^4 +1)). - _Colin Barker_, Nov 21 2013
%t Numerator[Convergents[Sqrt[351], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)
%Y Cf. A041665, A040332.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 21 2013
|
