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

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