%I A007113 M0919
%S A007113 1,0,2,3,20,90,594,4200,34544,316008,3207240,35699400,432690312,
%T A007113 5672581200,79991160144,1207367605080,19423062612480,
%U A007113 331770360922560,5997105160795584,114373526841360000
%V A007113 1,0,2,-3,20,-90,594,-4200,34544,-316008,3207240,-35699400,432690312,
%W A007113 -5672581200,79991160144,-1207367605080,19423062612480,
%X A007113 -331770360922560,5997105160795584,-114373526841360000
%N A007113 Expansion of (1 + x)^x.
%D A007113 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007113 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see 
               Example 5.2.3.
%H A007113 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=75">
               Encyclopedia of Combinatorial Structures 75</a>
%F A007113 a(n) = Sum_{k=0..floor(n/2)} binomial(n, k)*k!*Stirling1(n-k, k). - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Dec 19 2004
%t A007113 CoefficientList[Series[(1 + x)^x, {x, 0, 19}], x]*Table[(n - 1)!, {n, 
               1, 20}]
%Y A007113 Cf. A053489, A053490. Apart from initial terms and signs, same as A066166.
%Y A007113 Sequence in context: A151370 A041567 A087301 this_sequence A066166 A052804 
               A125763
%Y A007113 Adjacent sequences: A007110 A007111 A007112 this_sequence A007114 A007115 
               A007116
%K A007113 sign
%O A007113 0,3
%A A007113 Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A007113 Signs from Christian G. Bower (bowerc(AT)usa.net), Nov 15 1998