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A102886
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Decimal expansion of Serret's integral Integrate[Log[1+x]/(x^2+1),{x,0,1}].
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0
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2, 7, 2, 1, 9, 8, 2, 6, 1, 2, 8, 7, 9, 5, 0, 2, 6, 6, 3, 1, 2, 5, 8, 6, 1, 1, 2, 2, 7, 9, 7, 0, 1, 7, 4, 3, 4, 1, 7, 3, 2, 2, 9, 6, 2, 5, 4, 6, 1, 6, 0, 7, 8, 6, 7, 9, 0, 7, 2, 4, 4, 0, 6, 6, 4, 9, 2, 8, 8, 5, 6, 8, 6, 4, 7, 0, 9, 2, 7, 4, 8, 3, 0, 3, 7, 9, 1, 1, 2, 0, 2, 0, 1, 3, 3, 2, 8, 7, 8, 1, 3, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Jolley, Summation of Series, Dover (1961), Eq. (94) on page 18.
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FORMULA
| Pi*log(2)/8= H(2)/3 -H(4)/5 +H(6)/7 -... with H(n) = sum{j=1..n} 1/j the harmonic numbers. [Jolley]
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EXAMPLE
| 0.272198261...
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CROSSREFS
| Sequence in context: A195726 A095194 A095711 * A204382 A072981 A023399
Adjacent sequences: A102883 A102884 A102885 * A102887 A102888 A102889
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KEYWORD
| nonn,cons,easy
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jan 15 2005
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