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Numerators of continued fraction convergents to sqrt(432).
2

%I #13 Jun 13 2015 00:49:37

%S 20,21,83,104,187,291,1060,1351,55100,56451,224453,280904,505357,

%T 786261,2864140,3650401,148880180,152530581,606471923,759002504,

%U 1365474427,2124476931,7738905220,9863382151,402274191260,412137573411,1638686911493,2050824484904

%N Numerators of continued fraction convergents to sqrt(432).

%H Vincenzo Librandi, <a href="/A041822/b041822.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 (0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -20*x^14 +21*x^13 -83*x^12 +104*x^11 -187*x^10 +291*x^9 -1060*x^8 -1351*x^7 -1060*x^6 -291*x^5 -187*x^4 -104*x^3 -83*x^2 -21*x -20) / ((x^8 -52*x^4 +1)*(x^8 +52*x^4 +1)). - _Colin Barker_, Nov 25 2013

%t Numerator[Convergents[Sqrt[432], 30]] (* _Vincenzo Librandi_, Nov 09 2013 *)

%Y Cf. A041823, A040411.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 25 2013