Number of compositions (ordered partitions) of n into an odd number of primes.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =4a(8) =3a(9) =4a(10) =7a(11) =12a(12) =19a(13) =22a(14) =32a(15) =53a(16) =80a(17) =120a(18) =160a(19) =245a(20) =368a(21) =553a(22) =800a(23) =1164a(24) =1736a(25) =2588a(26) =3813a(27) =5598a(28) =8226a(29) =12228