a(1)=a(2)=1, a(n) = ceiling(e*a(n-1) - a(n-2)) for n>2.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =28a(6) =65a(7) =149a(8) =341a(9) =778a(10) =1774a(11) =4045a(12) =9222a(13) =21023a(14) =47925a(15) =109251a(16) =249051a(17) =567740a(18) =1294227a(19) =2950334a(20) =6725613a(21) =15331778a(22) =34950481a(23) =79673480a(24) =181624492a(25) =414033077a(26) =943834098a(27) =2151574001a(28) =4904750412a(29) =11180919918