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Numerators of continued fraction convergents to sqrt(285).
2

%I #15 Mar 18 2017 12:33:55

%S 16,17,135,287,2144,2431,79936,82367,656505,1395377,10424144,11819521,

%T 388648816,400468337,3191927175,6784322687,50682185984,57466508671,

%U 1889610463456,1947076972127,15519149268345,32985375508817,246416777830064,279402153338881

%N Numerators of continued fraction convergents to sqrt(285).

%H Vincenzo Librandi, <a href="/A041536/b041536.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 4862, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -16*x^10 +17*x^9 -135*x^8 +287*x^7 -2144*x^6 -2431*x^5 -2144*x^4 -287*x^3 -135*x^2 -17*x -16) / ((x^4 -17*x^2 +1)*(x^8 +17*x^6 +288*x^4 +17*x^2 +1)). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[285], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041537.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 2013