a(n) = ceiling(exp(n)/n).

Terms

a(0) =3a(1) =4a(2) =7a(3) =14a(4) =30a(5) =68a(6) =157a(7) =373a(8) =901a(9) =2203a(10) =5444a(11) =13563a(12) =34032a(13) =85901a(14) =217935a(15) =555382a(16) =1420880a(17) =3647777a(18) =9393806a(19) =24258260a(20) =62800750a(21) =162950584a(22) =423687107a(23) =1103713423a(24) =2880195974a(25) =7528061902a(26) =19705490393a(27) =51652038011a(28) =135563251626