a(n) = number of 2's in all partitions of n into distinct primes.

Terms

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