Search: id:A002741
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%I A002741 M0037 N0010
%S A002741 0,1,1,2,0,9,35,230,1624,13209,120287,1214674,13469896,
%T A002741 162744945,2128047987,29943053062,451123462672,7245940789073,
%U A002741 123604151490591,2231697509543362
%V A002741 0,1,-1,2,0,9,35,230,1624,13209,120287,1214674,13469896,
%W A002741 162744945,2128047987,29943053062,451123462672,7245940789073,
%X A002741 123604151490591,2231697509543362
%N A002741 Logarithmic numbers: expansion of -ln(1 - x) e^{-x}.
%D A002741 J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83.
%D A002741 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002741 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002741 T. D. Noe, <a href="b002741.txt">Table of n, a(n) for n=0..100</a>
%H A002741 <a href="Sindx_Lo.html#logarithmic">Index entries for sequences related 
               to logarithmic numbers</a>
%F A002741 E.g.f.: -ln(1-x)/e^x. a(n)=(n-2)*a(n-1)+(n-1)*a(n-2)-(-1)^n, n>0.
%o A002741 (PARI) a(n)=if(n<0,0,sum(k=0,n-1,(-1)^k*binomial(n,k)*(n-k-1)!))
%Y A002741 A000757(n)=(-1)^n+A002741(n).
%Y A002741 Sequence in context: A083864 A154937 A037996 this_sequence A151887 A070681 
               A061189
%Y A002741 Adjacent sequences: A002738 A002739 A002740 this_sequence A002742 A002743 
               A002744
%K A002741 sign,easy,nice
%O A002741 0,4
%A A002741 N. J. A. Sloane (njas(AT)research.att.com).
%E A002741 More terms from J. O. Shallit.
%E A002741 Additional comments from Michael Somos, Jun 21, 2002

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