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f-Pascal's triangle where f(n) = n*(n+1)/2 = A000217(n).
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%I #5 Sep 08 2013 13:30:52

%S 1,1,1,1,2,1,1,4,4,1,1,11,20,11,1,1,67,276,276,67,1

%N f-Pascal's triangle where f(n) = n*(n+1)/2 = A000217(n).

%F T(n,k) = f(T(n-1,k-1)) + f(T(n-1,k))where f(n) = n*(n+1)/2 = A000217(n); T(0;0) = 1 ; T(n,k) = 0 if k<0 or if k>n.

%e Triangle begins:

%e 1;

%e 1, 1;

%e 1, 2, 1;

%e 1, 4, 4, 1;

%e 1, 11, 20, 11, 1;

%e 1, 67, 276, 276, 67, 1;

%Y Cf. A007318.

%K nonn,tabl

%O 0,5

%A _Philippe Deléham_, Jun 14 2006