a(n) is the smallest integer k such that log(1/log((1+k)^(1/k))) > n.

Terms

a(0) =5a(1) =24a(2) =91a(3) =315a(4) =1030a(5) =3265a(6) =10113a(7) =30811a(8) =92674a(9) =275947a(10) =814940a(11) =2390374a(12) =6971243a(13) =20231089a(14) =58462783a(15) =168314905a(16) =482990543a(17) =1381928691a(18) =3943632121a(19) =11227515044a(20) =31896566383a(21) =90440011395a(22) =255980057462a(23) =723342392122