Number of integer partitions of n whose product is a perfect power.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =2a(5) =2a(6) =5a(7) =5a(8) =9a(9) =11a(10) =18a(11) =19a(12) =28a(13) =30a(14) =42a(15) =50a(16) =68a(17) =76a(18) =102a(19) =113a(20) =146a(21) =170a(22) =212a(23) =241a(24) =312a(25) =356a(26) =441a(27) =514a(28) =628a(29) =720