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A041810 Numerators of continued fraction convergents to sqrt(426). 2

%I #19 Mar 18 2017 12:59:47

%S 20,21,41,62,227,516,3323,7162,24809,31971,56780,88751,3606820,

%T 3695571,7302391,10997962,40296277,91590516,589839373,1271269262,

%U 4403647159,5674916421,10078563580,15753480001,640217763620,655971243621,1296189007241

%N Numerators of continued fraction convergents to sqrt(426).

%H Vincenzo Librandi, <a href="/A041810/b041810.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 177502, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^23 -20*x^22 +21*x^21 -41*x^20 +62*x^19 -227*x^18 +516*x^17 -3323*x^16 +7162*x^15 -24809*x^14 +31971*x^13 -56780*x^12 -88751*x^11 -56780*x^10 -31971*x^9 -24809*x^8 -7162*x^7 -3323*x^6 -516*x^5 -227*x^4 -62*x^3 -41*x^2 -21*x -20) / (x^24 -177502*x^12 +1). - _Colin Barker_, Nov 25 2013

%t Numerator/@Convergents[Sqrt[426], 50] (* _Harvey P. Dale_, Jun 29 2011 *)

%Y Cf. A041811, A040405.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Nov 25 2013

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