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Search: id:A058286
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| A058286 |
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Continued fraction for Pi^4. |
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+0
1
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| 97, 2, 2, 3, 1, 16539, 1, 6, 7, 6, 8, 6, 3, 9, 1, 1, 1, 18, 1, 4, 1, 13, 1, 2, 1, 127, 1, 1, 1, 4, 1, 6, 1, 1, 1, 10, 10, 1, 1, 2, 1, 2, 1, 5, 1, 1, 10, 1, 3, 2, 1, 1, 4, 9, 1, 7, 70, 1, 13, 1, 2, 6, 1, 2, 24, 5, 2, 6, 1, 1, 1, 8, 1, 1, 11, 2, 1, 1, 4, 3, 1, 3, 2, 2, 1, 7, 1, 4, 1, 22, 2, 1, 2, 3, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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"Truncating just before the unexpectedly large partial quotient 16,539 gives a famous approximation of Ramanujan for Pi^4 of 97 9/22." (Wells)
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REFERENCES
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David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 116.
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MATHEMATICA
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ContinuedFraction[ Pi^4, 100]
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CROSSREFS
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Sequence in context: A008702 A133402 A117846 this_sequence A051330 A106429 A126840
Adjacent sequences: A058283 A058284 A058285 this_sequence A058287 A058288 A058289
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KEYWORD
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cofr,nonn,easy
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000
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