A066045 Triangle T(n,k) defined by Sum_{1<=k<=n} T(n,k)*u^k*t^n/n! = exp(((1-t)*(1-t^2)*(1-t^3)...)^(-u)-1).
1, 3, 2, 8, 18, 5, 42, 118, 90, 15, 144, 900, 1075, 450, 52, 1440, 6788, 12375, 8475, 2340, 203, 5760, 61824, 141470, 140175, 63700, 12789, 877, 75600, 586584, 1700580, 2218335, 1441440, 474614, 73668, 4140, 524160, 6064416, 21677980
Offset: 1
Examples
Triangle begins: [1], [3, 2], [8, 18, 5], [42, 118, 90, 15], [144, 900, 1075, 450, 52], ...