Number of multiset partitions of integer partitions of n where all parts have the same product.

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =10a(5) =14a(6) =25a(7) =33a(8) =54a(9) =73a(10) =107a(11) =140a(12) =207a(13) =264a(14) =369a(15) =479a(16) =652a(17) =828a(18) =1112a(19) =1400a(20) =1848a(21) =2326a(22) =3009a(23) =3762a(24) =4856a(25) =6020a(26) =7648a(27) =9478a(28) =11942a(29) =14705