Weird sum of series

Calculus Level 5

11×7+12×9+13×11+14×13+\large{\frac{1}{1\times 7}+\frac{1}{2\times 9}+\frac{1}{3\times 11}+\frac{1}{4\times 13}+\ldots }

The value of above series is ABCDln(2){\frac{A}{B}-\frac{C}{D}\ln(2)} where A,B,C,D,A,B,C,D, are positive integers.

Find minimum value of A+B+C+D+2A+B+C+D+2.

Try my set.
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