Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^4.

Terms

a(0) =37a(1) =58a(2) =67a(3) =163a(4) =232a(5) =719a(6) =1169a(7) =1467a(8) =4075a(9) =5773a(10) =19183a(11) =33563a(12) =65477a(13) =67893a(14) =68996a(15) =70273a(16) =81194a(17) =90857a(18) =106194a(19) =112070a(20) =117434a(21) =120332a(22) =122456a(23) =133074a(24) =167196a(25) =210500a(26) =226081a(27) =254883a(28) =261084a(29) =263987