A042336 - OEIS

%I #12 Jun 13 2015 00:49:40

%S 26,53,79,290,2979,9227,12206,33639,1761434,3556507,5317941,19510330,

%T 200421241,620774053,821195294,2263164641,118505756626,239274677893,

%U 357780434519,1312615981450,13483940249019,41764436728507,55248376977526,152261190683559

%N Numerators of continued fraction convergents to sqrt(695).

%H Vincenzo Librandi, <a href="/A042336/b042336.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 (0,0,0,0,0,0,0,67278,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -26*x^14 +53*x^13 -79*x^12 +290*x^11 -2979*x^10 +9227*x^9 -12206*x^8 -33639*x^7 -12206*x^6 -9227*x^5 -2979*x^4 -290*x^3 -79*x^2 -53*x -26) / (x^16 -67278*x^8 +1). - _Colin Barker_, Dec 08 2013

%t Numerator[Convergents[Sqrt[695], 30]] (* _Vincenzo Librandi_, Nov 21 2013 *)

%Y Cf. A042337, A040668.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 08 2013