Number of compositions (ordered partitions) of n into prime power divisors of n (not including 1).

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =1a(6) =2a(7) =1a(8) =6a(9) =2a(10) =2a(11) =1a(12) =36a(13) =1a(14) =2a(15) =2a(16) =56a(17) =1a(18) =90a(19) =1a(20) =201a(21) =2a(22) =2a(23) =1a(24) =4725a(25) =2a(26) =2a(27) =20a(28) =1085a(29) =1