Khinchin constant

I have managed to express Khinchin constant too with my consecutive number model. I am not too sure about the meaning of Khinchin constant. Only thing I know is numbers are expressed in geometric mean and the coefficients form a continued fraction giving us Khinchin constant.

Here is Khinchin Constant in consecutive number model.

All of these expressions are an offering from my side to Lord above and the lovely nature he has given to us.

I hope you like it. Have a nice weekend guys. 

Some of the titled constants expressed in consecutive number model