OFFSET
1,1
COMMENTS
Equivalently, let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^2. - Artur Jasinski, Jan 03 2007
LINKS
Michael De Vlieger, Table of n, a(n) for n = 1..1000
EXAMPLE
e^(Pi*sqrt(163)) = 262537412640768743.9999999999992
MATHEMATICA
a = {}; Do[If[(1 - (Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) > 0) && (1 - ( Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]])< 10^(-2)), AppendTo[a, x]], {x, 1, 1000}]; a (* Artur Jasinski, Jan 03 2007 *)
Block[{$MaxExtraPrecision = 1000}, Select[Range@ 3000, And[1 - (#1 - #2) > 0, 1 - (#1 - #2) < 10^(-2)] & @@ {#, Floor@ #} &@ Exp[Pi*Sqrt[#]] &]] (* Michael De Vlieger, Sep 04 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by N. J. A. Sloane, Jul 03 2008 at the suggestion of R. J. Mathar
STATUS
approved