Number of partitions of 3*n that have exactly n prime parts.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =12a(6) =18a(7) =25a(8) =35a(9) =50a(10) =69a(11) =93a(12) =126a(13) =167a(14) =220a(15) =290a(16) =377a(17) =486a(18) =627a(19) =800a(20) =1017a(21) =1290a(22) =1623a(23) =2032a(24) =2542a(25) =3161a(26) =3917a(27) =4843a(28) =5960a(29) =7312