Inverse Euler transform of the number of factorizations function A001055.

Terms

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