OFFSET
0,3
COMMENTS
Old name of sequence was "Integers that are very close to values of exp(Pi*sqrt(n))", which left "very close" undefined. Robert G. Wilson v resolved this problem on Feb 28 2006 with the comment that "'Very close' means to within 0.01." - Jon E. Schoenfield, Mar 21 2015
REFERENCES
H. M. Stark, An Introduction to Number Theory. Markham, Chicago, 1970, p. 179.
EXAMPLE
e^(Pi*sqrt(163)) = 262537412640768743.99999999999925007259719818568887935385...
MATHEMATICA
f[n_] := Block[{e = Exp[Pi*Sqrt[n]]}, Abs[e - Round[e]]]; Round @ Exp[Pi*Sqrt @ Select[Range[ -1, 200], f @ # < 10^(-2) &]] (* Robert G. Wilson v, Feb 28 2006 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Roy Williams Clickery (roy(AT)ccsf.caltech.edu)
EXTENSIONS
New name, based on Feb 28 2006 comment from Robert G. Wilson v, from Jon E. Schoenfield, Mar 21 2015
Typos in Mma program corrected by Giovanni Resta, Jun 12 2016
STATUS
approved