A043553 Row sums of convolution triangle A030524.

1, 7, 43, 250, 1420, 7990, 44800, 250900, 1404700, 7864000, 44026000, 246481000, 1379950000, 7725850000, 43254430000, 242167300000, 1355815600000, 7590769900000, 42498250000000, 237933871000000, 1332114307000000

Offset: 1

Author

Wolfdieter Lang

Keywords

• easy
• nonn

Links

• W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

Formula

G.f.: x*(1-3*x+3*x^2)/(1-10*x+30*x^2-30*x^3)= g1(4, x)/(1-g1(4, x)), g1(4, x) := x*(1-3*x+3*x^2)/(1-3*x)^3 (G.f. first column of A030524).