A127029 Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10^4.

652, 2608, 5868, 14370, 22905, 23325, 28201, 34218, 45374, 54295, 55003, 59266, 66499, 76750, 87228, 91311, 95041, 160874, 169259, 184867, 192157, 196681, 197869, 206495, 206656, 210532, 210676, 230491, 251572, 273117, 289732, 301417, 311669, 317780, 321484

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Mathematica

$MaxExtraPrecision = 1000; a = {}; Do[If[((Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) > 0) && ((Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) < 10^(-4)), AppendTo[a, x]], {x, 1, 20000}]; a

Crossrefs

Cf. A035484, A127022, A127023, A127024, A127025, A127026, A127027, A127028, A127030.

Sequence in context: A257827 A261552 A002232 * A127030 A127031 A204511

Adjacent sequences: A127026 A127027 A127028 * A127030 A127031 A127032

Keyword

nonn

Author

Artur Jasinski, Jan 03 2007

Extensions

a(5)-a(35) from Jon E. Schoenfield, Sep 04 2017

Status

approved