G.f.: A(x,y) = Sum_{n>=0} exp(-y/(1-n*x)) * y^n/(1-n*x)^n / n!.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =3a(6) =0a(7) =1a(8) =12a(9) =10a(10) =0a(11) =1a(12) =35a(13) =90a(14) =35a(15) =0a(16) =1a(17) =90a(18) =525a(19) =560a(20) =126a(21) =0a(22) =1a(23) =217a(24) =2520a(25) =5460a(26) =3150a(27) =462a(28) =0a(29) =1