Let f(k) = exp(Pi*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10^3.

Terms

a(0) =25a(1) =37a(2) =43a(3) =58a(4) =67a(5) =74a(6) =163a(7) =232a(8) =522a(9) =719a(10) =1169a(11) =1245a(12) =1467a(13) =1850a(14) =1872a(15) =2086a(16) =3368a(17) =4075a(18) =5773a(19) =7685a(20) =7802a(21) =7942a(22) =8325a(23) =9728a(24) =10032a(25) =11682a(26) =12158a(27) =13574a(28) =17908a(29) =18505