%I A000180 M2063 N0816
%S A000180 1,2,13,116,1393,20894,376093,7897952,189550849,5117872922,153536187661,
%T A000180 5066694192812,182400990941233,7113638646708086,298772823161739613,
%U A000180 13444777042278282584,645349298029357564033,32912814199497235765682
%N A000180 Expansion of e^(-x)/(1-3x).
%D A000180 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               83.
%D A000180 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000180 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000180 T. D. Noe, <a href="b000180.txt">Table of n, a(n) for n=0..100</a>
%F A000180 a(n)=sum(k=0, n, (-1)^(n+k)*binomial(n, k)*k!*3^k) - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Nov 02 2003
%t A000180 Table[ Gamma[ n, -1/3 ]*3^(n-1)/Exp[ 1/3 ], {n, 1, 24} ]; FunctionExpand[ 
               % ]
%Y A000180 Sequence in context: A088604 A127891 A110369 this_sequence A004122 A086630 
               A151361
%Y A000180 Adjacent sequences: A000177 A000178 A000179 this_sequence A000181 A000182 
               A000183
%K A000180 nonn,easy
%O A000180 0,2
%A A000180 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A000180 More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 02 2003