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A103430
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Decimal expansion of integral(1/(n*ln(n)^(3/2)),n=2..Inf).
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0
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6, 8, 3, 2, 1, 8, 5, 9, 7, 1, 7, 6, 0, 4, 7, 3, 8, 2, 1, 7, 9, 3, 2, 0, 3, 9, 0, 3, 0, 1, 9, 5, 2, 6, 6, 2, 8, 9, 4, 0, 0, 7, 6, 5, 2, 1, 8, 6, 9, 7, 7, 4, 4, 9, 9, 5, 1, 1, 5, 4, 0, 4, 7, 6, 9, 1, 8, 3, 5, 1, 5, 6, 8, 4, 1, 8, 5, 2, 8, 0, 0, 0, 5, 9, 6, 2, 8, 4, 9, 6, 7, 9, 0, 7, 3, 3, 8, 3, 1, 8, 1, 1, 0, 7, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| "...the probability of m belonging A103359 is roughly 1/(n*ln(n)^(3/2)) and integral(1/(n*ln(n)^(3/2)),n=2..oo) is finite" - Max [rel(AT)funn.ac.ru] in seqfan [seqfan(AT)ext.jussieu.fr] posting Feb 03 2005
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FORMULA
| Integral(1/(n*ln(n)^(3/2)), n=2..Inf)=sqrt[2]{1/sqrt[(ln [2])]-sqrt[pi]* erfc[sqrt[ln [2]/2]]}
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EXAMPLE
| Integral(1/(n*ln(n)^(3/2)),n=2..Inf)= sqrt[2]{1/sqrt[(ln [2])]-sqrt[pi]* erfc[sqrt[ln [2]/2]]} =0.6832185971760473821793203903019526628940076521
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CROSSREFS
| Cf. A103359.
Sequence in context: A197267 A019255 A153895 * A097880 A196768 A021598
Adjacent sequences: A103427 A103428 A103429 * A103431 A103432 A103433
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KEYWORD
| easy,nonn,cons
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Feb 05 2005
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