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Numerators of continued fraction convergents to sqrt(219).
2

%I #14 Jun 13 2015 00:49:24

%S 14,15,59,74,2131,2205,8746,10951,315374,326325,1294349,1620674,

%T 46673221,48293895,191554906,239848801,6907321334,7147170135,

%U 28348831739,35496001874,1022236884211,1057732886085,4195435542466,5253168428551,151284151541894

%N Numerators of continued fraction convergents to sqrt(219).

%H Vincenzo Librandi, <a href="/A041408/b041408.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 (0,0,0,148,0,0,0,-1).

%F G.f.: -(x^7-14*x^6+15*x^5-59*x^4-74*x^3-59*x^2-15*x-14) / (x^8-148*x^4+1). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[219], 30]] (* _Harvey P. Dale_, Mar 29 2013 *)

%Y Cf. A041409.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013