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A080285 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. 1
1, 4, 10, 12, 20, 263, 964, 1533, 26974 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
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, Jul 26 2005
LINKS
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}] (* Ryan Propper, Jul 26 2005 *)
CROSSREFS
Sequence in context: A310344 A310345 A310346 * A138628 A050868 A007319
KEYWORD
more,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
EXTENSIONS
One more term from Ryan Propper, Jul 26 2005
STATUS
approved

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Last modified February 24 05:54 EST 2024. Contains 370294 sequences. (Running on oeis4.)