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A041422 Numerators of continued fraction convergents to sqrt(227). 2

%I #10 Jun 13 2015 00:49:24

%S 15,226,6795,102151,3071325,46172026,1388232105,20869653601,

%T 627477840135,9433037255626,283618595508915,4263711969889351,

%U 128194977692189445,1927188377352731026,57943846298274120225

%N Numerators of continued fraction convergents to sqrt(227).

%H Vincenzo Librandi, <a href="/A041422/b041422.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,452,0,-1).

%F G.f.: (15 + 226*x + 15*x^2 - x^3)/(1 - 452*x^2 + x^4). [_Bruno Berselli_, Nov 02 2013]

%t Numerator[Convergents[Sqrt[227], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0, 452, 0, -1}, {15, 226, 6795, 102151}, 20] (* _Bruno Berselli_, Nov 02 2013 *)

%Y Cf. A041423.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified July 6 21:05 EDT 2024. Contains 374058 sequences. (Running on oeis4.)