Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.

Terms

a(0) =0a(1) =1a(2) =2a(3) =0a(4) =0a(5) =-6a(6) =-3a(7) =-12a(8) =-11a(9) =-13a(10) =-22a(11) =-19a(12) =-20a(13) =-30a(14) =-41a(15) =-15a(16) =-55a(17) =-24a(18) =-52a(19) =-41a(20) =-59a(21) =-24a(22) =-109a(23) =-22a(24) =-78a(25) =-42a(26) =-111a(27) =-26a(28) =-131a(29) =-2