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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

Table of n, a(n) for n=1..9.

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

Cf. A079490, A080052, A080279-A080284.

Sequence in context: A310344 A310345 A310346 * A138628 A050868 A007319

Adjacent sequences:  A080282 A080283 A080284 * A080286 A080287 A080288

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 November 12 19:19 EST 2018. Contains 317116 sequences. (Running on oeis4.)