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A041332 Numerators of continued fraction convergents to sqrt(180). 2

%I #14 Apr 02 2023 10:30:18

%S 13,27,67,161,4253,8667,21587,51841,1369453,2790747,6950947,16692641,

%T 440959613,898611867,2238183347,5374978561,141987625933,289350230427,

%U 720688086787,1730726404001,45719574590813,93169875585627,232059325762067,557288527109761

%N Numerators of continued fraction convergents to sqrt(180).

%H Vincenzo Librandi, <a href="/A041332/b041332.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 (0,0,0,322,0,0,0,-1).

%F G.f.: -(x+1)*(x^6-14*x^5+41*x^4-108*x^3-53*x^2-14*x-13) / ((x^2-4*x-1)*(x^2+4*x-1)*(x^4+18*x^2+1)). - _Colin Barker_, Nov 06 2013

%t Numerator[Convergents[Sqrt[180], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0,0,0,322,0,0,0,-1},{13,27,67,161,4253,8667,21587,51841},40] (* _Harvey P. Dale_, Apr 02 2023 *)

%Y Cf. A041333.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013

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Last modified April 19 03:16 EDT 2024. Contains 371782 sequences. (Running on oeis4.)