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Search: id:A103430
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A103430 Decimal expansion of integral(1/(n*ln(n)^(3/2)),n=2..Inf). +0
1
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; cons; graph; listen)
OFFSET

0,1

COMMENT

"...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

FORMULA

Integral(1/(n*ln(n)^(3/2)), n=2..Inf)=sqrt[2]{1/sqrt[(ln [2])]-sqrt[pi]* erfc[sqrt[ln [2]/2]]}

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

CROSSREFS

Cf. A103359.

Sequence in context: A054512 A019255 A153895 this_sequence A097880 A021598 A021940

Adjacent sequences: A103427 A103428 A103429 this_sequence A103431 A103432 A103433

KEYWORD

easy,nonn,cons

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Feb 05 2005

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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