Search: id:A089064
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%I A089064
%S A089064 0,1,0,1,1,8,26,194,1142,9736,81384,823392,8738016,104336880,1328270880,
%T A089064 18419317968,272291315376,4312675967232,72478365279360,1292173575000192,
%U A089064 24314102888206464,482046102448383744,10037081891973037824
%N A089064 Expansion of ln(1-ln(1-x)).
%C A089064 Stirling transform of a(n)=[1,0,1,1,8,26,...] is A075792(n)=[1,1,2,8,
               44,...]. - Michael Somos Mar 04 2004
%C A089064 Stirling transform of -(-1)^n*a(n)=[1,0,1,-1,8,-26,194,...] is A000142(n-1)=[1,
               1,2,6,24,120,...]. - Michael Somos Mar 04 2004
%D A089064 G. H. Hardy, A Course of Pure Mathematics, 10th ed., Cambridge University 
               Press, 1960, p. 428.
%H A089064 G. H. Hardy, <a href="http://www.hti.umich.edu/cgi/t/text/text-idx?sid=b88432273f115fb346725f1a42422e19;
               c=umhistmath;idno=ACM1516.0001.001">A Course of Pure Mathematics</
               a>, Cambridge, The University Press, 1908.
%F A089064 a(n) = (-1)^(n+1)*Sum_{k=1..n} (k-1)!*Stirling1(n, k).
%F A089064 E.g.f.: log(1-log(1-x)).
%o A089064 (PARI) a(n)=if(n<0,0,n!*polcoeff(log(1-log(1-x+x*O(x^n))),n))
%Y A089064 Sequence in context: A140788 A082573 A112645 this_sequence A000810 A129663 
               A112646
%Y A089064 Adjacent sequences: A089061 A089062 A089063 this_sequence A089065 A089066 
               A089067
%K A089064 easy,nonn
%O A089064 0,6
%A A089064 Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 20 2003

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