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A080285
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Numbers n such that [(Pi+e)/(Pi-e)]^n is closer to its nearest integer than any value of [(Pi+e)/(Pi-e)]^k for 1 <= k < n.
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1
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OFFSET
| 1,2
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COMMENTS
| At n=1533, the discrepancy from an integer is 0.000043205...
At n=26974, the discrepancy from an integer is 0.00002313... - Ryan Propper (rpropper(AT)stanford.edu), Jul 26 2005
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MATHEMATICA
| $MaxExtraPrecision = 10^6; x = (Pi + E)/(Pi - E); b = 1; Do[a = Abs[N[Round[x^n] - x^n, 30]]; If[a < b, Print[n]; b = a], {n, 1, 30000}] (Propper)
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CROSSREFS
| Cf. A079490, A080052, A080279-A080284.
Sequence in context: A107960 A199765 A065056 * A138628 A050868 A007319
Adjacent sequences: A080282 A080283 A080284 * A080286 A080287 A080288
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KEYWORD
| more,nonn
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
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EXTENSIONS
| One more term from Ryan Propper (rpropper(AT)stanford.edu), Jul 26 2005
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