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A Self-Indexed Sequence
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Emmanuel Preissmann

11 rue Vinet

1004 Lausanne

Switzerland

**Abstract:**
We investigate the integer sequence
defined by if , ,
and
for .
This sequence has the following properties: if we consider
and take to be the real positive number such that
,
then

Moreover, if is the real positive number such that
, then there is a positive constant such that
.

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(Concerned with sequences
A052109
.)

Received May 16 2005;
revised version received July 28 2005.
Published in *Journal of Integer Sequences* August 2 2005.

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