%I #8 Dec 28 2012 08:50:54
%S 0,1,0,1,1,0,1,3,1,0,1,4,5,1,0,1,5,10,7,1,0,1,6,15,19,9,1,0,1,7,21,35,
%T 31,11,1,0,1,8,28,56,69,46,13,1,0,1,9,36,84,126,121,64,15,1,0,1,10,45,
%U 120,210,251,195,85,17,1,0,1,11,55,165,330,462,456,295,109,19,1,0
%N Square array of centered numbers, read by antidiagonals.
%F Square array T(n, k)=C(n+k, k)-C(n, k).
%F Row k has g.f. (1-x^k)/(1-x)^(k+1).
%e Rows begin
%e 0 0 0 0 0 0 ...
%e 1 1 1 1 1 1 ...
%e 1 3 5 7 9 11 ...
%e 1 4 10 19 31 46 ...
%e 1 5 15 35 69 121...
%Y Rows include A005408, A005448, A005894, A008498, A008499, A008500, A008501.
%Y Diagonals include A030662, A001700, A001791, A002054, A002694, A003516.
%K easy,nonn,tabl
%O 0,8
%A _Paul Barry_, Jul 02 2003