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

1,2

Links

Table of n, a(n) for n=1..21.

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).

Crossrefs

Sequence in context: A193656 A125344 A163869 * A049609 A161728 A358682

Adjacent sequences: A043550 A043551 A043552 * A043554 A043555 A043556

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved