Riordan array (1/(1+x), x/(1+x)^2), inverse array is A039599.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =1a(4) =-3a(5) =1a(6) =-1a(7) =6a(8) =-5a(9) =1a(10) =1a(11) =-10a(12) =15a(13) =-7a(14) =1a(15) =-1a(16) =15a(17) =-35a(18) =28a(19) =-9a(20) =1a(21) =1a(22) =-21a(23) =70a(24) =-84a(25) =45a(26) =-11a(27) =1a(28) =-1a(29) =28