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# User:Daniel Forgues

 Daniel Forgues kephalopod B.Sc. (Physics)Université deMontréal (1982)

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## OEIS

Nicolas Gauvrit, Jean-Paul Delahaye, Hector Zenil, Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS (2011)

## OEIS Wiki

### My subpages

 User:Daniel Forgues/Contributions  (Partial commented lists of my previous, in progress and future contributions.) User:Daniel Forgues/Copy and paste  (Tables and other stuff ready for copying and pasting.)

 Coordinated Universal Time(UTC)

 Friday, October 18, 2019

 OEIS Wiki Server TimeEastern Time (ET) [1]

 Friday, October 18, 2019

 Sequence of the Day

## Sequence of the Day for October 18

A092290: Decimal expansion of the [positive] solution to
 n x
= x  −  n
for
 n = 7
.
7.887482193696061...
Since
 n x
= x  −  n
 x 2  −  n x  −  n = 0
with roots
x  =
 n ± 2√  n 2 + 4 n 2
,
for
 n = 7
, the positive root is
x  =
 7 + 2√  77 2
.
Also, since we have
x = n +
 n x
, the continued fraction for the positive root
 x
is

x  =  n +
n
n +
n
n +
n
n +
n
n +
n
n +
 n ⋱
.

Note that for
 n = 1
, the positive root is
x  =
 1 + 2√  5 2
,

which is the golden ratio.

{{OEIS Indexes}}

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