A143084 Triangle read by rows: T(n,m) = (n + m)!.

1, 1, 2, 2, 6, 24, 6, 24, 120, 720, 24, 120, 720, 5040, 40320, 120, 720, 5040, 40320, 362880, 3628800, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200

Offset

0,3

Links

Jinyuan Wang, Rows n = 0..50 of triangle, flattened

Formula

T(n,m) = (n + m)!.

Example

Triangle begins:
    1;
    1,    2;
    2,    6,    24;
    6,   24,   120,    720;
   24,  120,   720,   5040,   40320;
  120,  720,  5040,  40320,  362880,  3628800;
  720, 5040, 40320, 362880, 3628800, 39916800, 479001600;
  ...

Mathematica

t[n_, m_] := (n + m)!; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]

Crossrefs

Column m=0 gives A000142.

T(2n,n) gives A100732.

Main diagonal gives A010050.

Row sums give A374574.

Sequence in context: A188958 A141902 A069466 * A188962 A076741 A320603

Adjacent sequences: A143081 A143082 A143083 * A143085 A143086 A143087

Keyword

nonn,easy,tabl

Author

Roger L. Bagula and Gary W. Adamson, Oct 16 2008

Extensions

Offset changed to 0 by Jinyuan Wang, Dec 19 2020

Status

approved