Pattern continued The following pattern: 
$$\frac{3^{2/401}}{3^{2/401} +3}+\frac{3^{4/401 }}{3^{4/401} +3}+\frac{3^{6/401}}{3^{6/401} +3}+\frac{3^{8/401}}{3^{8/401} +3}$$
what will the result be if the pattern is continued $\;300\;$ times?

I highly doubt there is a simple closed form for this.  WolframAlpha only returns (query) the decimal approximation: $130.6386445...$
Also, the inverse symbolic lookup calculator doesn't find anything...
