[(1+e^n)/(1+e*n)], where [ ]=floor.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =23a(6) =54a(7) =131a(8) =318a(9) =781a(10) =1937a(11) =4841a(12) =12175a(13) =30791a(14) =78254a(15) =199721a(16) =511640a(17) =1315064a(18) =3390147a(19) =8762929a(20) =22705350a(21) =58960248a(22) =153411988a(23) =399903630a(24) =1044199306a(25) =2730780816a(26) =7151800337a(27) =18755305334a(28) =49246220422a(29) =129456991053