こんにちは 数学界の中山きんに君です 良く見えないと思うから下のURLを直接見て
https://www.HostMath.com/Show.aspx?Code=%5Csum_%7Bk%3D0%7D%5E%7B%5Cinfty%7D%5Cfrac%7B2%5E%7Bk%7Dk!%5Cleft(3k%5Cright)!%5Cleft(4k%5Cright)!%7D%7B%5Cleft(2k%5Cright)!%5Cleft(6k%5Cright)!%7D%3D%5Cfrac%7B%5Cpi%7D%7B250%7D%2B%5Cfrac%7B%5Csqrt%7B%5Csqrt%7B2%7D-1%7D%5Cleft(49%5Csqrt%7B2%7D%2B92%5Cright)%7D%7B500%7D%5Carctan%5Cleft(%5Csqrt%7B2%5Cleft(1%2B%5Csqrt%7B2%7D%5Cright)%7D%5Cright)%2B%5Cfrac%7B%5Csqrt%7B%5Csqrt%7B2%7D%2B1%7D%5Cleft(49%5Csqrt%7B2%7D-92%5Cright)%7D%7B1000%7D%5Cln%5Cleft(%5Cfrac%7B1%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%5Csqrt%7B%5Csqrt%7B2%7D%2B1%7D%7D%7B1%2B%5Csqrt%7B2%7D-%5Csqrt%7B2%7D%5Csqrt%7B%5Csqrt%7B2%7D%2B1%7D%7D%5Cright)%2B%5Cfrac%7B27%7D%7B25%7D