A080279 - OEIS

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.

1, 8, 52, 299, 437, 527, 2189, 64925

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OFFSET

1,2

COMMENTS

At n=2189 the discrepancy is 0.00000715379617...

LINKS

Table of n, a(n) for n=1..8.

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(c-b), d): if f<s then a := [op(a), n]: print(n): s := f: fi: n := n+1: od:

CROSSREFS

Cf. A079490, A080052, A080053.

Sequence in context: A227732 A000432 A153336 * A279283 A257285 A125345

Adjacent sequences: A080276 A080277 A080278 * A080280 A080281 A080282

KEYWORD

nonn,more

AUTHOR

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

EXTENSIONS

More terms from Michel ten Voorde Jun 20 2003

STATUS

approved