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Triangle in which n-th row contains all possible products of n-1 of the first n natural numbers in ascending order.
5

%I #17 Jul 12 2015 15:48:20

%S 1,1,2,2,3,6,6,8,12,24,24,30,40,60,120,120,144,180,240,360,720,720,

%T 840,1008,1260,1680,2520,5040,5040,5760,6720,8064,10080,13440,20160,

%U 40320,40320,45360,51840,60480,72576,90720,120960,181440,362880,362880

%N Triangle in which n-th row contains all possible products of n-1 of the first n natural numbers in ascending order.

%C Row products of A137853. - _Mats Granvik_, Jun 24 2009

%F E.g.f.: -log(1-x)/(1-y*x). - _Vladeta Jovovic_, Feb 07 2003

%e 1; 1,2; 2,3,6; 6,8,12,24; 24,30,40,60,120; ...

%p A077012_row := proc(n) local k; seq(n!/(n-k),k=0..n-1) end:

%p seq(print(A077012_row(n)),n=1..9); # _Peter Luschny_, Mar 21 2011

%t Flatten[Table[n!/(n-k),{n,10},{k,0,n-1}]] (* _Harvey P. Dale_, Dec 25 2011 *)

%Y Row sums give A000254. Cf. A078921.

%Y Cf. A058298.

%K nonn,tabl

%O 1,3

%A _Amarnath Murthy_, Oct 26 2002

%E More terms from _Sascha Kurz_, Jan 26 2003