Number of integer partitions of n whose product is a powerful number.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =2a(5) =2a(6) =5a(7) =5a(8) =9a(9) =11a(10) =18a(11) =19a(12) =30a(13) =36a(14) =51a(15) =62a(16) =87a(17) =104a(18) =141a(19) =171a(20) =225a(21) =271a(22) =349a(23) =419a(24) =534a(25) =643a(26) =804a(27) =965a(28) =1197a(29) =1431