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

Terms

a(0) =652a(1) =2608a(2) =22905a(3) =54295a(4) =95041a(5) =160874a(6) =184867a(7) =470884a(8) =470884a(9) =613399a(10) =674707a(11) =798611a(12) =880111a(13) =895056a(14) =914998a(15) =1024331a(16) =1027117a(17) =1623312a(18) =1678362a(19) =1699773a(20) =1720078a(21) =1826945a(22) =1830202a(23) =2025665a(24) =2089347a(25) =2092092a(26) =2097388a(27) =2133524a(28) =2375222a(29) =2471017