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I am trying to plot the following equation with c on y-axis and n on x-axis for L~10^-61 and 'c~10^-61` (if required I can scale both of them down to manageable values):

-0.00003 = Binomial[n,2]*((1.37832*10^-7 Cos[(2 Sqrt[3] w ArcSinh[(c L)/(2 Sqrt[3])])/
  c])/(L Sqrt[12 + c^2 L^2]))

I just can't seem to be able to get it done using Plot or Plot3D. Is there any particular trick here that I am missing? My n is of the order 10^23.

I did the following :

Plot3D[{F[1/1000, 10^-61, k, 100], -3*^-5*(Binomial[n, 2])^-1}, {n, 
  10^16, 10^17}, {k, 10^60, 10^61}, PlotPoints -> 100, 
 MaxRecursion -> 5, WorkingPrecision -> 110, AxesLabel -> Automatic, 
 PlotLegends -> "Expressions"]

enter image description here

I didn't get a nice 3DPlot and also if I take order of n to be higher then nothing shows up on the plot. What does the spike there mean? Please help me understand this and obtain a nice plot in 2D of c and n.

Nitin
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    What is `F`? Both `F` and the `Binomial` expression are functions of one independent variable, `k` and `n` respectively. `Plot3D` expects a function of two independent variables, that is why there is no third dimension in the plot. – Rohit Namjoshi Apr 25 '20 at 00:21
  • @RohitNamjoshi But if I plot for `n` from `0 to 10` then I get a nice 3D plot! – Nitin Apr 25 '20 at 07:16

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