75006domain: NAppears in sequencesa(n) = n*(n+1)^2*(6*n^3-5*n^2+3*n+2)/24.at n=8A101379a(n) = (n+1)(n+2)^3*(n+3)(13n^2 + 37n + 30)/720.at n=7A108671G.f. A(x) satisfies: 1 = Sum_{n>=0} 3^n * ((1+x)^n - A(x))^n.at n=5A326283Records in A009101.at n=26A354710