Number of compositions (ordered partitions) of n into distinct nonprime parts.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =2a(6) =1a(7) =2a(8) =1a(9) =3a(10) =5a(11) =8a(12) =3a(13) =10a(14) =11a(15) =17a(16) =13a(17) =16a(18) =19a(19) =54a(20) =49a(21) =55a(22) =59a(23) =90a(24) =89a(25) =129a(26) =127a(27) =183a(28) =307a(29) =358