Search: id:A092753
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%I A092753
%S A092753 1,4,8,12,17,24,33,43,56,71,89,111,136,166,201,242,290,345,408,481,565,
%T A092753 660,768,892,1031,1190,1368,1569,1796,2049,2334,2652,3008,3405,3847,
%U A092753 4339,4885,5491,6162,6905,7726,8634,9634,10737,11951,13287,14754,16364
%N A092753 a(n) = smallest m >= 1 such that Sum_{k=1..m} log(k)/k >= n.
%C A092753 Sum (-1)^k log(k) / k is a conditionally convergent sequence that converges 
               to gamma log(2) - (log 2)^2 / 2. But the sum of the absolute values 
               diverges.
%e A092753 The sum of the first 4 terms is 1.059351276782648539882313867..., just 
               >= 1, so a(1) = 4.
%t A092753 f[n_] := Block[{s = 0, k = 1}, While[s = N[s + Log[k]/k, 128]; s < n, 
               k++ ]; k]; Table[ f[n], {n, 0, 47}] (from Robert G. Wilson v Apr 
               15 2004)
%Y A092753 Cf. A002387.
%Y A092753 Sequence in context: A033156 A036573 A098573 this_sequence A079774 A045672 
               A072473
%Y A092753 Adjacent sequences: A092750 A092751 A092752 this_sequence A092754 A092755 
               A092756
%K A092753 nonn,easy
%O A092753 0,2
%A A092753 N. J. A. Sloane (njas(AT)research.att.com), Apr 13 2004
%E A092753 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Don Reble (djr(AT)nk.ca), 
               Apr 15 2004

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