A042574 - OEIS

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

%S 28,29,57,200,657,2171,2828,4999,282772,287771,570543,1999400,6568743,

%T 21705629,28274372,49980001,2827154428,2877134429,5704288857,

%U 19990001000,65674291857,217012876571,282687168428,499700044999,28265889688372,28765589733371

%N Numerators of continued fraction convergents to sqrt(816).

%H Vincenzo Librandi, <a href="/A042574/b042574.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 (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -28*x^14 +29*x^13 -57*x^12 +200*x^11 -657*x^10 +2171*x^9 -2828*x^8 -4999*x^7 -2828*x^6 -2171*x^5 -657*x^4 -200*x^3 -57*x^2 -29*x -28) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - _Colin Barker_, Dec 18 2013

%t Numerator[Convergents[Sqrt[816], 30]] (* _Vincenzo Librandi_, Nov 28 2013 *)

%Y Cf. A042575, A040787.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013