nmax=22;系数列表[Series[Log[1+2 x/(Exp[x]+1)],{x,0,nmax}],x]Range[0,nmax]!
a[n]:=a[n]=n EulerE[n-1,0]-求和[k二项式[n,k](n-k)EulerE[n-k-1,0]a[k],{k,1,n-1}]/n;a[0]=0;表[a[n],{n,0,22}]
a[n]:=a[n]=2(1-2^n)BernoulliB[n]-求和[k二项式[n,k]2(1-2 ^(n-k))BernowliB[n-k]a[k],{k,1,n-1}]/n;a[0]=0;表[a[n],{n,0,22}]