a(n) = Sum_{k=0..n} (-1)^(k+1) * k * A000041(n-k).

Terms

a(0) =0a(1) =1a(2) =-1a(3) =3a(4) =-2a(5) =6a(6) =-3a(7) =11a(8) =-4a(9) =19a(10) =-4a(11) =31a(12) =-2a(13) =50a(14) =3a(15) =79a(16) =15a(17) =122a(18) =38a(19) =187a(20) =78a(21) =284a(22) =146a(23) =426a(24) =257a(25) =635a(26) =431a(27) =939a(28) =701a(29) =1377