418377domain: NAppears in sequencesNumber of odd-length branches starting at the root in all ordered trees with n edges.at n=12A127540An infinite sum polynomial triangular sequence of coefficients that gives a LerchPhi polynomial: p(x,n)=(1 - x)^(n + 1)*Sum[(n + k)^n*x^k, {k, 0, Infinity}]=(1+x)^n*LerchPhi[x,-n,n].at n=23A142158