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Search: id:A035484
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| A035484 |
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Numbers n such that fractional part of e^( Pi n^(1/2) ) > .99. |
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+0
15
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| 6, 17, 18, 22, 25, 37, 43, 58, 59, 67, 74, 149, 163, 177, 232, 267, 326, 386, 522, 566, 638, 719, 790, 792, 928, 986, 1014, 1169, 1245, 1257, 1293, 1326, 1467, 1556, 1850, 1872, 1960, 2061, 2086, 2160, 2196, 2208, 2278, 2403, 2438, 2551, 2653, 2795, 2829
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equivalently, let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n))-f(n) < 1/10^2. - Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007
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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 163^(1/2)) = 262537412640768743.9999999999992
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MATHEMATICA
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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 (grafix(AT)csl.pl), Jan 03 2007
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CROSSREFS
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Cf. A019296, A127022, A127023, A127024, A127025.
Sequence in context: A095421 A063584 A019296 this_sequence A009171 A012417 A017461
Adjacent sequences: A035481 A035482 A035483 this_sequence A035485 A035486 A035487
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KEYWORD
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nonn
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AUTHOR
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Erich Friedman (erich.friedman(AT)stetson.edu)
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EXTENSIONS
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Edited by njas, Jul 03 2008 at the suggestion of R. J. Mathar
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