Number of strict multiset partitions of multiset partitions of integer partitions of n.

Terms

a(0) =1a(1) =1a(2) =3a(3) =9a(4) =23a(5) =62a(6) =161a(7) =410a(8) =1031a(9) =2579a(10) =6359a(11) =15575a(12) =37830a(13) =91241a(14) =218581a(15) =520544a(16) =1232431a(17) =2902644a(18) =6802178a(19) =15866054a(20) =36844016a(21) =85202436a(22) =196251933a(23) =450341874a(24) =1029709478a(25) =2346409350a(26) =5329371142a(27) =12066816905a(28) =27240224766a(29) =61317231288