%I A097141
%S A097141 0,1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
%T A097141 25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
%U A097141 48,49,50,51,52,53,54,55,56,57,58,59,60
%V A097141 0,1,0,-1,2,-3,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15,16,-17,18,-19,20,-21,
               22,-23,24,-25,
%W A097141 26,-27,28,-29,30,-31,32,-33,34,-35,36,-37,38,-39,40,-41,42,-43,44,-45,
               46,-47,48,-49,
%X A097141 50,-51,52,-53,54,-55,56,-57,58,-59,60
%N A097141 Expansion of x(1+2x)/(1+x)^2.
%C A097141 Partial sums of A097140. Binomial transform is x(1+x)/(1-x), or {0,1,
               2,2,2,2,....}. Second binomial transform is x/((1-x)^2(1 - 2x)), 
               or Eulerian numbers A000295(n+1).
%F A097141 a(n)=(n-2)(-1)^n+2*0^n; a(n)=-2a(n-1)-a(n-2), n>2.
%F A097141 a(n)=A099570(n), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 15 2008]
%Y A097141 Cf. A040000.
%Y A097141 Sequence in context: A056064 A114142 A024000 this_sequence A160356 A038608 
               A105811
%Y A097141 Adjacent sequences: A097138 A097139 A097140 this_sequence A097142 A097143 
               A097144
%K A097141 easy,sign
%O A097141 0,5
%A A097141 Paul Barry (pbarry(AT)wit.ie), Jul 29 2004