

A080285


Numbers n such that [(Pi+e)/(Pie)]^n is closer to its nearest integer than any value of [(Pi+e)/(Pie)]^k for 1 <= k < n.


1




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, A080279A080284.
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



