Number of partitions of n containing a prime number of primes and an arbitrary number of nonprimes.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =4a(7) =6a(8) =9a(9) =13a(10) =20a(11) =26a(12) =36a(13) =49a(14) =68a(15) =90a(16) =120a(17) =154a(18) =201a(19) =258a(20) =330a(21) =418a(22) =532a(23) =666a(24) =834a(25) =1041a(26) =1290a(27) =1592a(28) =1958a(29) =2404