a(0)=1, a(n+1)=ceiling((1+1/n)^n*a(n)).

Terms

a(0) =1a(1) =2a(2) =5a(3) =12a(4) =30a(5) =75a(6) =190a(7) =484a(8) =1242a(9) =3206a(10) =8316a(11) =21657a(12) =56591a(13) =148303a(14) =389615a(15) =1025810a(16) =2706014a(17) =7150411a(18) =18923033a(19) =50146688a(20) =133054093a(21) =353426693a(22) =939750924a(23) =2501100209a(24) =6662258807a(25) =17760491578a(26) =47381172431a(27) =126488492584