A060136 Square array read by antidiagonals with T(n,k)=T(n,k-1)^2+n*T(n,k-1)+1 and T(n,0)=0.

0, 1, 0, 2, 1, 0, 5, 3, 1, 0, 26, 13, 4, 1, 0, 677, 183, 25, 5, 1, 0, 458330, 33673, 676, 41, 6, 1, 0, 210066388901, 1133904603, 458329, 1805, 61, 7, 1, 0, 44127887745906175987802, 1285739649838492213, 210066388900, 3263441, 3966