Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^6.

Terms

a(0) =58a(1) =163a(2) =1467a(3) =478233a(4) =881967a(5) =1053883a(6) =1341615a(7) =1844122a(8) =3498092a(9) =6069493a(10) =6396611a(11) =8707530a(12) =10414308a(13) =13340780a(14) =16039620a(15) =17013933a(16) =17226343a(17) =18577932a(18) =19390220a(19) =21991290a(20) =24529596a(21) =26202225a(22) =26634713a(23) =26651262a(24) =26848308a(25) =27497372a(26) =32149837a(27) =35437319a(28) =35892748