%I #4 Mar 30 2012 18:58:55

%S 1,1,1,1,2,1,1,3,3,1,1,4,7,4,1,1,5,13,13,5,1,1,6,21,34,21,6,1,1,7,31,

%T 73,73,31,7,1,1,8,43,136,185,136,43,8,1,1,9,57,229,381,381,229,57,9,1,

%U 1,10,73,358,685,826,685,358,73,10,1,1,11,91,529,1121,1531

%N Square array of binomial transforms read by antidiagonals.

%C Rows (and columns) are binomial transforms of [1,k,k(k-1),k(k-1)(k-2),0,0,...], k>=0. One of a family of arrays that converge to A088699.

%F Square array T(n, k) defined by T(n, k)=1+kn+k(k-1)n(n-1)/2+k(k-1)(k-2)n(n-1)(n-2)/6

%e Rows start

%e 1,1,1,1,1,...

%e 1,2,3,4,5,...

%e 1,3,7,13,21,...

%e 1,4,13,34,73,...

%e 1,5,21,73,185,...

%Y Cf. A094525.

%K easy,nonn,tabl

%O 0,5

%A _Paul Barry_, May 07 2004