Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^5.

Terms

a(0) =58a(1) =67a(2) =163a(3) =232a(4) =1467a(5) =4075a(6) =343732a(7) =357711a(8) =478233a(9) =486396a(10) =881967a(11) =1003957a(12) =1033466a(13) =1045512a(14) =1053883a(15) =1091706a(16) =1208198a(17) =1240173a(18) =1341615a(19) =1844122a(20) =1878006a(21) =1964724a(22) =2177184a(23) =2259143a(24) =2276046a(25) =2279335a(26) =2488542a(27) =2691364a(28) =2850458a(29) =3157407