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Search: id:A019297
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| A019297 |
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Integers that are very close to values of exp( pi sqrt(n)). |
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+0
6
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| -1, 1, 2198, 422151, 614552, 2508952, 6635624, 199148648, 884736744, 24591257752, 30197683487, 147197952744, 545518122090, 70292286279654, 39660184000219160, 45116546012289600, 262537412640768744
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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"Very close" means to within 0.01. - Robert G. Wilson v, Feb 28, 2006
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REFERENCES
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H. M. Stark, An Introduction to Number Theory. Markham, Chicago, 1970, p. 179.
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LINKS
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Roy Williams Clickery, Exp(Pi*Sqrt(n)) Page
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EXAMPLE
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e^(Pi*Sqrt(163)) = 262537412640768743.99999999999925007259719818568887935385...
f[n_] := Block[{e = Exp[Pi*Sqrt[n]]}, Abs[e - Round[e]]]; Round(AT) Exp[Pi*Sqrt(AT)Select[Range[ -1, 200], f(AT)# < 10^(-2) &]] (from Robert G. Wilson v (rgwv(at)rgwv.com), Feb 28 2006)
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CROSSREFS
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Cf. A019296, A060295, A058292.
Sequence in context: A013799 A013868 A044884 this_sequence A044989 A075455 A125015
Adjacent sequences: A019294 A019295 A019296 this_sequence A019298 A019299 A019300
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KEYWORD
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sign
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AUTHOR
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Roy Williams Clickery (roy(AT)ccsf.caltech.edu)
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