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

Terms

a(0) =652a(1) =2608a(2) =5868a(3) =14370a(4) =22905a(5) =23325a(6) =28201a(7) =34218a(8) =45374a(9) =54295a(10) =55003a(11) =59266a(12) =66499a(13) =76750a(14) =87228a(15) =91311a(16) =95041a(17) =160874a(18) =169259a(19) =184867a(20) =192157a(21) =196681a(22) =197869a(23) =206495a(24) =206656a(25) =210532a(26) =210676a(27) =230491a(28) =251572a(29) =273117