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%I #17 May 25 2017 04:18:05
%S 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,
%T 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,
%U 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
%N Decimal expansion of integral(1/(n*log(n))^(3/2),n=2..Inf).
%C "...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
%H G. C. Greubel, <a href="/A103430/b103430.txt">Table of n, a(n) for n = 0..10000</a>
%F Integral(1/(n*log(n))^(3/2), n=2..inf) = sqrt(2)(1/sqrt(log 2) - sqrt(Pi)*erfc(sqrt(log(2)/2))).
%e 0.6832185971760473821793203903019526628940076521...
%t (2 - Erfc[Sqrt[Log[2]/2]]*Sqrt[Pi*Log[16]])/Sqrt[Log[4]] // RealDigits[#, 10, 105]& // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y Cf. A103359.
%K easy,nonn,cons
%O 0,1
%A _Zak Seidov_, Feb 05 2005
%E Typo in formula fixed by _Jean-François Alcover_, Feb 19 2013
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