a(n,m) tabl head (triangle) for A130191 (Stirling2 squared) n\m 0 1 2 3 4 5 6 7 8 9 ... 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 3 0 5 6 1 0 0 0 0 0 0 4 0 15 32 12 1 0 0 0 0 0 5 0 52 175 110 20 1 0 0 0 0 6 0 203 1012 945 280 30 1 0 0 0 7 0 877 6230 8092 3465 595 42 1 0 0 8 0 4140 40819 70756 40992 10010 1120 56 1 0 9 0 21147 283944 638423 479976 156072 24570 1932 72 1 . . . E.g.f. for row polynomials (in variable x): with exp(x*f(z)) with f(z):= exp(exp(z)-1)-1. E.g.f. column m: (f(x)^m)/m!, m>=0, with f(x)=exp(exp(x)-1)-1. The row sums give: =[1, 1, 3, 12, 60, 358, 2471, 19302, 167894, 1606137,...] = A000258. The alternating row sums give: [1,-1,-1,0,6,32,115,172,-2030,-29013,-250051,...] = A130410. ###################################### e.o.f. ##############################################