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Search: id:A006752
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| A006752 |
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Decimal expansion of Catalan's constant 1 - 1/9 + 1/25 - 1/49 + 1/81 - ...
(Formerly M4593)
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+0
14
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| 9, 1, 5, 9, 6, 5, 5, 9, 4, 1, 7, 7, 2, 1, 9, 0, 1, 5, 0, 5, 4, 6, 0, 3, 5, 1, 4, 9, 3, 2, 3, 8, 4, 1, 1, 0, 7, 7, 4, 1, 4, 9, 3, 7, 4, 2, 8, 1, 6, 7, 2, 1, 3, 4, 2, 6, 6, 4, 9, 8, 1, 1, 9, 6, 2, 1, 7, 6, 3, 0, 1, 9, 7, 7, 6, 2, 5, 4, 7, 6, 9, 4, 7, 9, 3, 5, 6, 5, 1, 2, 9, 2, 6, 1, 1, 5, 1, 0, 6, 2, 4, 8, 5, 7, 4
(list; cons; graph; listen)
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OFFSET
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0,1
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REFERENCES
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G. J. Fee, ``Computation of Catalan's constant using Ramanujan's formula,'' in Proc. Internat. Symposium on Symbolic and Algebraic Computation (ISSAC '90). 1990, pp. 157-160.
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 53-59
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LINKS
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Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants
T. Papanikolaou, Catalan's constant to 1500000 places [Gutenberg Project Etext]
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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Equals Integrate[ ArcTan[x]/x, {x,0,1}].
Equals Integrate[ 3 ArcTan[x(1-x)/(2-x)]/x, {x,0,1}] . - Posting to Number Theory List by James McLaughlin, Sep 27 2007
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EXAMPLE
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0.915965...
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CROSSREFS
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Cf. A014538, A104338.
Adjacent sequences: A006749 A006750 A006751 this_sequence A006753 A006754 A006755
Sequence in context: A100924 A021526 A019791 this_sequence A090656 A058284 A016579
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KEYWORD
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nonn,cons,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), May 28 2002
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