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A041410 Numerators of continued fraction convergents to sqrt(220). 2

%I #17 Jun 13 2015 00:49:24

%S 14,15,74,89,2566,2655,13186,15841,456734,472575,2347034,2819609,

%T 81296086,84115695,417758866,501874561,14470246574,14972121135,

%U 74358731114,89330852249,2575622594086,2664953446335

%N Numerators of continued fraction convergents to sqrt(220).

%H Vincenzo Librandi, <a href="/A041410/b041410.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 (0,0,0,178,0,0,0,-1).

%F a(n) = 178*a(n-4)-a(n-8). G.f.: -(x^7-14*x^6+15*x^5-74*x^4-89*x^3-74*x^2-15*x-14)/(x^8-178*x^4+1). [_Colin Barker_, Jul 16 2012]

%t Numerator/@Convergents[Sqrt[220],25] (* _Harvey P. Dale_, May 15 2011 *)

%Y Cf. A041411.

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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