a(n) = floor(n^sqrt(n)).

Terms

a(0) =1a(1) =2a(2) =6a(3) =16a(4) =36a(5) =80a(6) =172a(7) =358a(8) =729a(9) =1453a(10) =2843a(11) =5475a(12) =10384a(13) =19427a(14) =35890a(15) =65536a(16) =118377a(17) =211675a(18) =374936a(19) =658238a(20) =1145961a(21) =1979340a(22) =3393261a(23) =5775991a(24) =9765625a(25) =16405018a(26) =27389511a(27) =45461160a(28) =75033331a(29) =123176061