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A179974 Triangle read by rows: T(n,k) = (n-A049085(n,k))! in columns 1<=k<=A000041(n), rows n>=1.

%I A179974 #9 May 17 2016 08:12:03
%S A179974 1,1,1,1,1,2,1,1,2,2,6,1,1,2,2,6,6,24,1,1,2,6,2,6,24,6,24,24,120,1,1,
%T A179974 2,6,2,6,24,24,6,24,120,24,120,120,720,1,1,2,6,24,2,6,24,24,120,6,24,
%U A179974 120,120,720,24,120,720,120,720,720,5040,1,1,2,6,24,2,6,24,120,24,120,720,6,24,120,120,720,720,24,120,720,720,5040,120,720,5040
%N A179974 Triangle read by rows: T(n,k) = (n-A049085(n,k))! in columns 1<=k<=A000041(n), rows n>=1.
%C A179974 Since A049085 is a resortment of A036043 both A179972 and A179974 have row sums equal to A179973.
%e A179974 Triangle begins
%e A179974 1;
%e A179974 1,1;
%e A179974 1,1,2;
%e A179974 1,1,2,2,6;
%e A179974 1,1,2,2,6,6,24;
%e A179974 1,1,2,6,2,6,24,6,24,24,120;
%e A179974 1,1,2,6,2,6,24,24,6,24,120,24,120,120,720;
%e A179974 1,1,2,6,24,2,6,24,24,120,6,24,120,120,720,24,120,720,120,720,720,5040;
%e A179974 1,1,2,6,24,2,6,24,120,24,120,720,6,24,120,120,720,720,24,120,720,720,5040,120,720,5040,720,5040,5040,40320,
%Y A179974 Cf. A000041 (row lengths), A179973 (row sums), A036042, A049085 (max part).
%K A179974 nonn,tabf
%O A179974 1,6
%A A179974 _Alford Arnold_, Aug 05 2010