

A080279


Numbers n such that 1/G^n is closer to its nearest integer than any value of 1/G^k for 1 <= k < n, where G is Catalan's constant.


7




OFFSET

1,2


COMMENTS

At n=2189 the discrepancy is 0.00000715379617...


LINKS



EXAMPLE

First term is 1 because this is just 1/G=1.0917440637... Second term is 8 because 1/G^8=2.01821167... which is 0.0182... away from its nearest integer. 1/G^52 is 0.0027 away from 96.


MAPLE

a := []: s := 1: n := 1: do: g := 1/Catalan^n: d := round( 30+evalf( ilog10( g ) ) ): b := evalf(g, d): c := round(b): f := evalf(abs(cb), d): if f<s then a := [op(a), n]: print(n): s := f: fi: n := n+1: od:


CROSSREFS



KEYWORD

nonn,more


AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003


EXTENSIONS



STATUS

approved



