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A098459
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Decimal expansion of G/2 + (1/8)*Pi*log(2), where G is Catalan's constant (often also denoted K).
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2
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7, 3, 0, 1, 8, 1, 0, 5, 8, 3, 7, 6, 5, 5, 9, 7, 7, 3, 8, 3, 9, 8, 8, 7, 8, 6, 9, 7, 4, 5, 8, 9, 3, 7, 9, 8, 8, 0, 4, 3, 9, 7, 6, 4, 9, 6, 8, 6, 9, 9, 6, 8, 5, 3, 9, 2, 3, 9, 7, 3, 4, 6, 6, 4, 6, 0, 1, 7, 0, 0, 7, 8, 5, 3, 5, 2, 2, 0, 1, 3, 3, 0, 4, 3, 4, 6, 9, 3, 7, 6, 6, 6, 4, 3, 9, 0, 4, 3, 1, 2
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OFFSET
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0,1
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REFERENCES
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Jonathan Borwein, David Bailey and Roland Girgensohn, Experimentation in Mathematics: Computational Paths to Discovery, A K Peters, 2004, p. 20.
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LINKS
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FORMULA
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Equals Integral_{x=0..1} arctan(x) / (x*(x^2+1)) dx.
Equals Integral_{x=0..Pi/4} x*cot(x) dx. (End)
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EXAMPLE
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0.7301810583765597738398878697...
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MATHEMATICA
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RealDigits[Catalan/2 + Pi*Log[2]/8, 10 , 100][[1]] (* Amiram Eldar, Aug 17 2020 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 08 2004
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STATUS
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approved
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