A143084 - OEIS

%I #18 Jul 12 2024 19:17:31

%S 1,1,2,2,6,24,6,24,120,720,24,120,720,5040,40320,120,720,5040,40320,

%T 362880,3628800,720,5040,40320,362880,3628800,39916800,479001600,5040,

%U 40320,362880,3628800,39916800,479001600,6227020800,87178291200

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

%H Jinyuan Wang, <a href="/A143084/b143084.txt">Rows n = 0..50 of triangle, flattened</a>

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

%e Triangle begins:

%e     1;

%e     1,    2;

%e     2,    6,    24;

%e     6,   24,   120,    720;

%e    24,  120,   720,   5040,   40320;

%e   120,  720,  5040,  40320,  362880,  3628800;

%e   720, 5040, 40320, 362880, 3628800, 39916800, 479001600;

%e   ...

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

%Y Column m=0 gives A000142.

%Y T(2n,n) gives A100732.

%Y Main diagonal gives A010050.

%Y Row sums give A374574.

%K nonn,easy,tabl

%O 0,3

%A _Roger L. Bagula_ and _Gary W. Adamson_, Oct 16 2008

%E Offset changed to 0 by _Jinyuan Wang_, Dec 19 2020