Inverse Euler transform of the number of prime factors (with multiplicity) function A001222.

Terms

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