A141906 Triangle t(n,m) = (n*m)!/(m!^n) read by rows, 0<=m<=n.

1, 1, 1, 1, 2, 6, 1, 6, 90, 1680, 1, 24, 2520, 369600, 63063000, 1, 120, 113400, 168168000, 305540235000, 623360743125120, 1, 720, 7484400, 137225088000, 3246670537110000, 88832646059788350720, 2670177736637149247308800

Offset: 0

Author

Roger L. Bagula and Gary W. Adamson, Sep 14 2008

Keywords

• nonn
• tabl
• easy

Comments

Row sums are in A221177.

Examples

			1;
1, 1;
1, 2, 6;
1, 6, 90, 1680;
1, 24, 2520, 369600, 63063000;
1, 120, 113400, 168168000, 305540235000, 623360743125120;
1, 720, 7484400, 137225088000, 3246670537110000, 88832646059788350720, 2670177736637149247308800;
		

Links

• Seiichi Manyama, Rows n = 0..26, flattened

Crossrefs

Cf. A034841, A187783, A221177.

Programs

Maple

A141906 := proc(n,m)
        (n*m)!/m!^n ;
end proc:
seq(seq(A141906(n,m),m=0..n),n=0..5) ; # R. J. Mathar, Nov 08 2011

Mathematica

Clear[t, n, m]; t[n_, m_] = (n*m)!/m!^n; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]