Least integer such that e^n/(ceiling(e^n) + a(n)) monotonically decreases.

Terms

a(0) =1a(1) =3a(2) =9a(3) =26a(4) =73a(5) =199a(6) =542a(7) =1475a(8) =4011a(9) =10903a(10) =29640a(11) =80571a(12) =219017a(13) =595350a(14) =1618331a(15) =4399082a(16) =11957946a(17) =32505069a(18) =88357939a(19) =240181783a(20) =652881776a(21) =1774716669a(22) =4824180073a(23) =13113481032a(24) =35646137200a(25) =96896247006a(26) =263391307484