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A123316 Triangle read by rows: T(n,k)=(k+1)*n!/2 (1<=k<=n).

%I A123316 #6 Mar 12 2014 16:37:01
%S A123316 1,2,3,6,9,12,24,36,48,60,120,180,240,300,360,720,1080,1440,1800,2160,
%T A123316 2520,5040,7560,10080,12600,15120,17640,20160,40320,60480,80640,
%U A123316 100800,120960,141120,161280,181440,362880,544320,725760,907200,1088640
%N A123316 Triangle read by rows: T(n,k)=(k+1)*n!/2 (1<=k<=n).
%e A123316 Triangle begins:
%e A123316 {1},
%e A123316 {2, 3},
%e A123316 {6, 9, 12},
%e A123316 {24, 36, 48, 60},
%e A123316 {120, 180, 240, 300, 360},
%e A123316 {720, 1080, 1440, 1800, 2160, 2520},
%e A123316 {5040, 7560, 10080, 12600, 15120, 17640, 20160}
%p A123316 T:=(n,k)->(k+1)*n!/2: for n from 1 to 10 do seq(T(n,k),k=1..n) od; # yields sequence in triangular form
%t A123316 t[n_, m_] := (m + 1)*n!/2; a = Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[a]
%Y A123316 Cf. A051683.
%K A123316 nonn,tabl
%O A123316 1,2
%A A123316 _Roger L. Bagula_, Nov 09 2006
%E A123316 Edited by _N. J. A. Sloane_, Dec 03 2006