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Template:Sequence of the Day for May 30

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Intended for: May 30, 2012

Timetable

  • First draft entered by Alonso del Arte on August 10, 2011
  • Draft reviewed by Daniel Forgues on May 29, 2012 (May 16, 2016) ✓
  • Draft to be approved by April 30, 2012
Yesterday's SOTD * Tomorrow's SOTD

The line below marks the end of the <noinclude> ... </noinclude> section.



A053003: Simple continued fraction for Gauß's constant
2
π
1 0 
1
2  1 − x 4
dx
.

The [simple] continued fraction is

      
1 + 
1
5 + 
1
21 + 
1
3 + 
1

This is the reciprocal of the arithmetic-geometric mean of
1
and
2  2 
. It was on May 30, 1799 that Carl Friedrich Gauß discovered the integral for this number shown above. (For its decimal expansion, see A014549.)
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