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A041344 Numerators of continued fraction convergents to sqrt(186). 2

%I #12 Jun 13 2015 00:49:23

%S 13,14,27,41,150,641,2073,2714,4787,7501,199813,207314,407127,614441,

%T 2250450,9616241,31099173,40715414,71814587,112530001,2997594613,

%U 3110124614,6107719227,9217843841,33761250750,144262846841,466549791273,610812638114,1077362429387

%N Numerators of continued fraction convergents to sqrt(186).

%H Vincenzo Librandi, <a href="/A041344/b041344.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 (0,0,0,0,0,0,0,0,0,15002,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -13*x^18 +14*x^17 -27*x^16 +41*x^15 -150*x^14 +641*x^13 -2073*x^12 +2714*x^11 -4787*x^10 -7501*x^9 -4787*x^8 -2714*x^7 -2073*x^6 -641*x^5 -150*x^4 -41*x^3 -27*x^2 -14*x -13) / (x^20 -15002*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[186], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041345.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified July 6 21:56 EDT 2024. Contains 374058 sequences. (Running on oeis4.)