%I A006252 M1275
%S A006252 1,1,1,2,4,14,38,216,600,6240,9552,319296,519312,28108560,
%T A006252 176474352,3998454144,43985078784,837126163584,12437000028288,
%U A006252 237195036797184,4235955315745536,85886259443020800
%V A006252 1,1,1,2,4,14,38,216,600,6240,9552,319296,-519312,28108560,
%W A006252 -176474352,3998454144,-43985078784,837126163584,-12437000028288,
%X A006252 237195036797184,-4235955315745536,85886259443020800
%N A006252 Expansion of 1/(1 - log (1+x)).
%C A006252 Stirling transform of a(n+1)=[1,1,2,4,14,38,...] is A000255(n)=[1,3,11,
               53,309,...]. - Michael Somos Mar 04 2004
%C A006252 Stirling transform of 2*a(n)=[2,2,4,8,28,...] is A052849(n)=[2,4,12,48,
               240,...]. - Michael Somos Mar 04 2004
%C A006252 Stirling transform of a(n)=[1,1,2,4,14,38,216,...] is A000142(n)=[1,2,
               6,24,120,...]. - Michael Somos Mar 04 2004
%C A006252 Stirling transform of a(n-1)=[1,1,1,2,4,14,38,...] is A000522(n-1)=[1,
               2,5,16,65,...]. - Michael Somos Mar 04 2004
%C A006252 Stirling transform of a(n-1)=[0,1,1,2,4,14,38,...] is A007526(n-1)=[0,
               1,4,15,64,...]. - Michael Somos Mar 04 2004
%D A006252 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006252 G. P\'{o}lya, Induction and Analogy in Mathematics. Princeton Univ. Press, 
               1954, p. 9.
%F A006252 Sum_{k=0..n} k!*stirling1(n, k). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Sep 08 2002
%F A006252 E.g.f.: 1/(1-log(1+x)).
%o A006252 (PARI) a(n)=if(n<0,0,n!*polcoeff(1/(1-log(1+x+x*O(x^n))),n))
%Y A006252 Sequence in context: A053623 A035010 A055540 this_sequence A079995 A152011 
               A000912
%Y A006252 Adjacent sequences: A006249 A006250 A006251 this_sequence A006253 A006254 
               A006255
%K A006252 sign
%O A006252 0,4
%A A006252 N. J. A. Sloane (njas(AT)research.att.com).