%I #4 Sep 08 2013 13:31:00
%S 1,0,1,2,1,1,0,3,2,1,3,3,5,3,1,0,6,8,8,4,1,4,6,14,16,12,5,1,0,10,20,
%T 30,28,17,6,1
%N Triangle generated by Pascal's rule with left diagonal = [1,0,2,0,3,0,4,...](A000027 with interpolated zeros) and right diagonal =[1,1,1,1,1,...].
%F T(2*n,n)=A116914(n) . Sum_{k, 0<=k<=n)T(n,k)=A034299(n).
%e Triangle begins:
%e 1;
%e 0, 1;
%e 2, 1, 1;
%e 0, 3, 2, 1;
%e 3, 3, 5, 3, 1;
%e 0, 6, 8, 8, 4, 1;
%e 4, 6, 14, 16, 12, 5, 1;
%e 0, 10, 20, 30, 28, 17, 6, 1;
%K nonn,tabl
%O 0,4
%A _Philippe Deléham_, Mar 08 2007
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