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A041808 Numerators of continued fraction convergents to sqrt(425). 2

%I #16 Dec 10 2022 17:51:31

%S 20,21,41,62,103,165,268,10885,11153,22038,33191,55229,88420,143649,

%T 5834380,5978029,11812409,17790438,29602847,47393285,76996132,

%U 3127238565,3204234697,6331473262,9535707959,15867181221,25402889180,41270070401,1676205705220

%N Numerators of continued fraction convergents to sqrt(425).

%H Vincenzo Librandi, <a href="/A041808/b041808.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^13 -20*x^12 +21*x^11 -41*x^10 +62*x^9 -103*x^8 +165*x^7 +268*x^6 +165*x^5 +103*x^4 +62*x^3 +41*x^2 +21*x +20) / (x^14 +536*x^7 -1). - _Colin Barker_, Nov 25 2013

%t Numerator[Convergents[Sqrt[425], 30]] (* _Vincenzo Librandi_, Nov 09 2013 *)

%t LinearRecurrence[{0,0,0,0,0,0,536,0,0,0,0,0,0,1},{20,21,41,62,103,165,268,10885,11153,22038,33191,55229,88420,143649},40] (* _Harvey P. Dale_, Dec 10 2022 *)

%Y Cf. A041809, A040404.

%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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