|
%I #18 Aug 28 2023 16:38:00
%S 25,76,101,682,1465,9472,10937,42283,2125087,6417544,8542631,57673330,
%T 123889291,801009076,924898367,3575704177,179710107217,542706025828,
%U 722416133045,4877202824098,10476821781241,67738133511544,78214955292785,302382999389899
%N Numerators of continued fraction convergents to sqrt(638).
%H Vincenzo Librandi, <a href="/A042224/b042224.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 84566, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^15 -25*x^14 +76*x^13 -101*x^12 +682*x^11 -1465*x^10 +9472*x^9 -10937*x^8 -42283*x^7 -10937*x^6 -9472*x^5 -1465*x^4 -682*x^3 -101*x^2 -76*x -25) / (x^16 -84566*x^8 +1). - _Colin Barker_, Dec 04 2013
%t Numerator[Convergents[Sqrt[638], 30]] (* _Vincenzo Librandi_, Nov 19 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,84566,0,0,0,0,0,0,0,-1},{25,76,101,682,1465,9472,10937,42283,2125087,6417544,8542631,57673330,123889291,801009076,924898367,3575704177},30] (* _Harvey P. Dale_, Aug 28 2023 *)
%Y Cf. A042225, A040612.
%K nonn,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 04 2013
|
