a(n) = number of partitions of primes into distinct (also odd) parts.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =12a(5) =18a(6) =38a(7) =54a(8) =104a(9) =256a(10) =340a(11) =760a(12) =1260a(13) =1610a(14) =2590a(15) =5120a(16) =9792a(17) =12076a(18) =22250a(19) =32992a(20) =40026a(21) =70488a(22) =101698a(23) =173682a(24) =345856a(25) =483330a(26) =570078a(27) =789640a(28) =927406a(29) =1274118