Numbers k such that the integer log of k! is a perfect power.

Terms

a(0) =4a(1) =8a(2) =27a(3) =31a(4) =575a(5) =669a(6) =1201a(7) =2505a(8) =4784a(9) =7618a(10) =35710a(11) =65005a(12) =166422a(13) =870062a(14) =994086a(15) =1105670a(16) =1209538a(17) =2140133a(18) =3020610a(19) =9147713a(20) =9404277a(21) =14492743a(22) =16792162a(23) =18566766a(24) =19445469a(25) =21264479a(26) =46483343a(27) =109424090a(28) =292374429a(29) =293351547