Number of integer partitions y of n whose rank Sum_i 2^(y_i-1) is prime.

Terms

a(0) =0a(1) =0a(2) =2a(3) =2a(4) =1a(5) =3a(6) =3a(7) =6a(8) =3a(9) =6a(10) =9a(11) =20a(12) =13a(13) =22a(14) =22a(15) =45a(16) =47a(17) =70a(18) =75a(19) =100a(20) =107a(21) =132a(22) =157a(23) =202a(24) =229a(25) =302a(26) =396a(27) =495a(28) =536a(29) =699