P(p(n)), P = primes (A000040), p = partition numbers (A000041).

Terms

a(0) =2a(1) =2a(2) =3a(3) =5a(4) =11a(5) =17a(6) =31a(7) =47a(8) =79a(9) =113a(10) =181a(11) =263a(12) =389a(13) =547a(14) =761a(15) =1049a(16) =1453a(17) =1951a(18) =2659a(19) =3511a(20) =4643a(21) =6073a(22) =7933a(23) =10243a(24) =13249a(25) =16981a(26) =21713a(27) =27551a(28) =34841a(29) =43853