%I #3 Sep 08 2013 13:31:52
%S 1,0,1,1,0,1,2,3,0,1,6,8,6,0,1,18,30,20,10,0,1,57,108,90,40,15,0,1,
%T 186,399,378,210,70,21,0,1,622,1488,1596,1008,420,112,28,0,1,2120,
%U 5598,6696,4788,2268,756,168,36,0,1,7338,21200,27990,22320,11970,4536,1260,240,45
%N Triangle T : T(n,k)= binomial(n,k)*A000957(n+1-k).
%F Sum_{k, 0<=k<=n} T(n,k)*x^k = A000957(n+1), A033321(n), A033543(n) for x = 0,1,2 respectively. Sum_{k, 0<=k<=n} T(n,k)*(-1)^(n-k)*x^k = A054341(n), A059738(n), A049027(n+1) for x = 2,3,4 respectively.
%e Triangle begins : 1 ; 0,1 ; 1,0,1 ; 2,3,0,1 ; 6,8,6,0,1 ; 18,30,20,10,0,1 ; ...
%Y Cf. A007318
%K nonn,tabl
%O 0,7
%A _Philippe Deléham_, Dec 13 2009