Numerical method to calculate sum of infinite series? for example: I have a series 
is there numerical computation method to find it ? thanks

Your terms are proportional to $\frac1{16·36·n^6}$, accordingly the error of the n-th partial sum is about $\frac1{16·36·5·n^5}$, so the first 100 terms, summed from smallest to largest, should give a valid numerical result.
You might also try out the Epsilon algorithm of P. Wynn, "On the Convergence and Stability of the Epsilon Algorithm", SIAM Journal on Numerical Analysis 3 (1) (Mar 1966), p. 91–122
