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

Terms

a(0) =652a(1) =2608a(2) =880111a(3) =2720885a(4) =4089051a(5) =4619054a(6) =5046630a(7) =5409046a(8) =5433402a(9) =5603556a(10) =5645558a(11) =7278138a(12) =7466589a(13) =10037029a(14) =10730786a(15) =10823358a(16) =11540978a(17) =11860073a(18) =12898258a(19) =14554227a(20) =15107659a(21) =15602035a(22) =15896143a(23) =17070573a(24) =18204473a(25) =19252185a(26) =19425342a(27) =19556500