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%I #5 Jan 06 2024 21:49:23
%S 1,1,1,1,2,1,1,3,3,1,2,4,6,4,1,2,10,10,10,5,1,6,12,30,20,15,6,1,6,42,
%T 42,70,35,21,7,1,24,48,168,112,140,56,28,8,1,24,216,216,504,252,252,
%U 84,36,9,1,120,240,1080,720,1260,504,420,120,45,10,1
%N C(n,k)*Floor((n-k)/2)!.
%C Row sums are A081124.
%F T(n, k) = if(k<=n, C(n, k)floor((n-k)/2)!, 0).
%e Triangle begins:
%e 1;
%e 1, 1;
%e 1, 2, 1;
%e 1, 3, 3, 1;
%e 2, 4, 6, 4, 1;
%e 2, 10, 10, 10, 5, 1;
%e 6, 12, 30, 20, 15, 6, 1;
%e 6, 42, 42, 70, 35, 21, 7, 1;
%Y Cf. A081124.
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, Nov 14 2005