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%I #11 Dec 20 2020 03:03:09
%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)!.
%C Row sums are: 1, 3, 32, 870, 46224, 4037880, 522956160, 93928267440, 22324392518400, 6780385526302080, 2561327494111411200, ...
%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 {5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200},
%e ...
%t t[n_, m_] := (n + m)!; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
%Y Cf. A000142.
%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
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