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 A019297 Integers k such that abs(e^(Pi*sqrt(n)) - k) < 0.01 for some n. 6
 -1, 1, 2198, 422151, 614552, 2508952, 6635624, 199148648, 884736744, 24591257752, 30197683487, 147197952744, 545518122090, 70292286279654, 39660184000219160, 45116546012289600, 262537412640768744 (list; graph; refs; listen; history; text; internal format)
 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. LINKS 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 Cf. A019296, A058292, A060295. Sequence in context: A013799 A013868 A044884 * A044989 A202894 A075455 Adjacent sequences:  A019294 A019295 A019296 * A019298 A019299 A019300 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

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Last modified October 17 16:51 EDT 2019. Contains 328120 sequences. (Running on oeis4.)