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

0,5

Comments

Row sums are in A221177.

Links

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

Example

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;

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[%]

Crossrefs

Cf. A034841, A187783, A221177.

Sequence in context: A364708 A322944 A019576 * A352125 A136766 A199501

Adjacent sequences: A141903 A141904 A141905 * A141907 A141908 A141909

Keyword

nonn,tabl,easy

Author

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

Status

approved