A symmetrical triangle of coefficients of polynomials: q(x,n)=((1 - x)^(2*n)/(n*x))*Sum[Binomial[k + n - 1, k]*k^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^(n-1)*q(1/x,n); t(n,m)=coefficients(p(x,n)).

A152300

A symmetrical triangle of coefficients of polynomials: q(x,n)=((1 - x)^(2*n)/(n*x))*Sum[Binomial[k + n - 1, k]*k^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^(n-1)*q(1/x,n); t(n,m)=coefficients(p(x,n)).