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Triangle read by rows: T(n,k)=(k+1)*n!/2 (1<=k<=n).
0

%I #6 Mar 12 2014 16:37:01

%S 1,2,3,6,9,12,24,36,48,60,120,180,240,300,360,720,1080,1440,1800,2160,

%T 2520,5040,7560,10080,12600,15120,17640,20160,40320,60480,80640,

%U 100800,120960,141120,161280,181440,362880,544320,725760,907200,1088640

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

%e Triangle begins:

%e {1},

%e {2, 3},

%e {6, 9, 12},

%e {24, 36, 48, 60},

%e {120, 180, 240, 300, 360},

%e {720, 1080, 1440, 1800, 2160, 2520},

%e {5040, 7560, 10080, 12600, 15120, 17640, 20160}

%p 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 t[n_, m_] := (m + 1)*n!/2; a = Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[a]

%Y Cf. A051683.

%K nonn,tabl

%O 1,2

%A _Roger L. Bagula_, Nov 09 2006

%E Edited by _N. J. A. Sloane_, Dec 03 2006