H⁡(s)=12⁢ζ⁡(s+1)+ζ⁡(s)s-1-∑r=1k(s+2⁢r-22⁢r-1)⁢ζ⁡(1-2⁢r)⁢ζ⁡(s+2⁢r)-(s+2⁢k2⁢k+1)⁢∑n=1∞1n⁢∫n∞B~2⁢k+1⁡(x)xs+2⁢k+1⁢ⅆ⁡x.