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A173279 Irregular triangle read by rows: M(n,k) = (n-2*k)!, k=0..floor(n/2).

%I A173279 #5 Mar 30 2012 17:40:17
%S A173279 1,1,2,1,6,1,24,2,1,120,6,1,720,24,2,1,5040,120,6,1,40320,720,24,2,1,
%T A173279 362880,5040,120,6,1,3628800,40320,720,24,2,1,39916800,362880,5040,
%U A173279 120,6,1,479001600,3628800,40320,720,24,2,1,6227020800,39916800,362880,5040,120,6,1,87178291200
%N A173279 Irregular triangle read by rows: M(n,k) = (n-2*k)!, k=0..floor(n/2).
%C A173279 In the limit as j-> infinity, the power M^j approaches the limit described in A173280.
%C A173279 Row sums: sum_{k=0..n/2} M(n,k) = A136580(n).
%e A173279 Triangle starts in row n=0 as:
%e A173279 1;
%e A173279 1;
%e A173279 2, 1;
%e A173279 6, 1;
%e A173279 24, 2, 1;
%e A173279 120, 6, 1;
%e A173279 720, 24, 2, 1;
%e A173279 5040, 120, 6, 1;
%e A173279 40320, 720, 24, 2, 1;
%e A173279 362880, 5040, 120, 6, 1;
%e A173279 3628800, 40320, 720, 24, 2, 1;
%e A173279 39916800, 362880, 5040, 120, 6, 1;
%e A173279 479001600, 3628800, 40320, 720, 24, 2, 1;
%e A173279 ...
%p A173279 A173279 := proc(n,k) factorial(n-2*k) ; end proc: seq(seq(A173279(n,k),k=0..floor(n/2)),n=0..20) ; # _R. J. Mathar_, Feb 22 2010
%Y A173279 Cf. A000142, A136580, A173280
%K A173279 nonn,tabf
%O A173279 0,3
%A A173279 _Gary W. Adamson_, Feb 14 2010
%E A173279 keyword tabl replaced by tabf, _R. J. Mathar_, Feb 22 2010