Numbers that are equal to the sum of the number of divisors of their k first powers, for some k.

Terms

a(0) =1a(1) =2a(2) =5a(3) =64a(4) =203a(5) =505a(6) =524a(7) =649a(8) =818a(9) =1295a(10) =2469a(11) =2869a(12) =4355a(13) =5048a(14) =6083a(15) =10415a(16) =14909a(17) =15021a(18) =22329a(19) =27433a(20) =29189a(21) =29369a(22) =35719a(23) =38023a(24) =44099a(25) =48229a(26) =56372a(27) =85329a(28) =85343a(29) =89270