Number of integer partitions of n with sortable prime factors.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =15a(8) =22a(9) =30a(10) =42a(11) =56a(12) =76a(13) =99a(14) =132a(15) =171a(16) =222a(17) =283a(18) =363a(19) =457a(20) =577a(21) =721a(22) =902a(23) =1115a(24) =1379a(25) =1693a(26) =2076a(27) =2530a(28) =3077a(29) =3723