a(n) = ceiling(n^n/n!).

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =11a(5) =27a(6) =65a(7) =164a(8) =417a(9) =1068a(10) =2756a(11) =7148a(12) =18614a(13) =48639a(14) =127464a(15) =334865a(16) =881658a(17) =2325751a(18) =6145597a(19) =16263867a(20) =43099805a(21) =114356612a(22) =303761261a(23) =807692035a(24) =2149632062a(25) =5726042116a(26) =15264691108a(27) =40722913455a(28) =108713644517