수학 문제

\(\sum_{n=1}^{\infty}\frac{n^4 2^{n}}{\binom{2n}{n}}=113\pi+355=709.9999698556466359462787\cdots\)

우변의 .9999

http://www.wolframalpha.com/input/?i=sum+m^4*2^m/(binom(2m,m))+from+1+to+infinity

관련항목 : 중심이항계수(central binomial coefficient)