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#30 by Wolfdieter Lang at Sun Aug 25 12:36:21 EDT 2019
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L. J. Lange, <a href="http://www.jstor.org/stable/2589152">An Elegant Continued Fraction for π</a>, The American Mathematical Monthly, 106 (1999), 456-458.
L. J. Lange, <a href="http://www.jstor.org/stable/2589152">An Elegant Continued Fraction for π</a>, The American Mathematical Monthly, 106 (1999), 456-458.
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approved
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#29 by Wolfdieter Lang at Sun Aug 25 12:35:42 EDT 2019
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#28 by Wolfdieter Lang at Sun Aug 25 12:34:29 EDT 2019
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W. Lang, <a href="http://www.itp.kit.edu/~wl/EISpub/A142970.text">Approximants for Pi-3 and more.</a>
Wolfdieter Lang, <a href="/A142970/a142970.text.txt">Approximants for Pi-3 and more.</a>
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Cf. . A000796, A001879, A130411, A130412, A254795.
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Discussion
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| Sun Aug 25
| 12:35
| Wolfdieter Lang: I rewrote my lost link, and added A-numbers in the Cf. line.
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#27 by Wolfdieter Lang at Sat Aug 24 10:27:26 EDT 2019
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#26 by Wolfdieter Lang at Sat Aug 24 10:26:56 EDT 2019
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The above continued fraction for Pi is the particular case n = 0, x = 3 of a result of Ramanujan, previously given by Euler - see Berndt et al., Chapter 12, Entry 25, p. 268. - Peter Bala, Feb 19 2015
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Discussion
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| Sat Aug 24
| 10:27
| Wolfdieter Lang: I added in the Bala comment the page number.
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#25 by Susanna Cuyler at Sun Feb 25 22:56:24 EST 2018
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#24 by Jon E. Schoenfield at Sun Feb 25 22:24:27 EST 2018
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#23 by Jon E. Schoenfield at Sun Feb 25 22:24:24 EST 2018
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J.-P. Delahaye, Le fascinant nombre pi, Pour la Science, Paris 1997. In German: Pi - die Story, BirkhaeuserBirkhäuser, 1999 Basel, p. 87.
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#22 by Charles R Greathouse IV at Thu Jul 09 17:57:13 EDT 2015
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W. Lang, <a href="http://www-itp.physikitp.uni-karlsruhekit.deedu/~wl/EISpub/A142970.text">Approximants for Pi-3 and more.</a>
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Discussion
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| Thu Jul 09
| 17:57
| OEIS Server: https://oeis.org/edit/global/2449
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#21 by Peter Luschny at Tue Mar 10 04:30:06 EDT 2015
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