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A076788
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Decimal expansion of sum(1/(2^m*m^2),m=1..infinity).
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8
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5, 8, 2, 2, 4, 0, 5, 2, 6, 4, 6, 5, 0, 1, 2, 5, 0, 5, 9, 0, 2, 6, 5, 6, 3, 2, 0, 1, 5, 9, 6, 8, 0, 1, 0, 8, 7, 4, 4, 1, 9, 8, 4, 7, 4, 8, 0, 6, 1, 2, 6, 4, 2, 5, 4, 3, 4, 3, 4, 7, 0, 4, 7, 8, 7, 3, 1, 7, 1, 0, 4, 4, 0, 7, 1, 6, 8, 3, 2, 0, 0, 8, 1, 6, 8, 4, 0, 3, 1, 8, 5, 8, 7, 9, 1, 5, 8, 5, 7, 1, 8, 5, 6, 4, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Dilog function Li_2(1/2).
Also Pi^2/12 - 1/2*(ln2)^2 according to the MathWorld link. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 21 2004
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REFERENCES
| Jolley, Summation of Series, Dover (1961), eq. (116) on page 22 and eq (360c) on page 68.
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LINKS
| Eric Weisstein's World of Mathematics, Dilogarithm MathWorld page
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FORMULA
| equals 1-(1+1/2)/2 +(1+1/2+1/3)/3 -... [Jolley]
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EXAMPLE
| 0.5822405264650...
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PROG
| (PARI) \p 200 dilog(1/2) Pi^2/12-1/2*(log(2))^2
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CROSSREFS
| Sequence in context: A098881 A073333 A021949 * A195358 A021636 A011210
Adjacent sequences: A076785 A076786 A076787 * A076789 A076790 A076791
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 05 2003
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