%I A034008
%S A034008 1,0,1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,
%T A034008 65536,131072,262144,524288,1048576,2097152,4194304,8388608,16777216,
%U A034008 33554432,67108864,134217728,268435456,536870912,1073741824,2147483648
%N A034008 [2^|n-1|/2].
%C A034008 Powers of 2 with additional first two terms.
%C A034008 Essentially the same as A131577 (and A000079).
%C A034008 [(-1)^n*a(n)] = [1,0,1,-2,4,-8,16,-32,...] is the inverse binomial transform 
               of A008619 = [1,1,2,2,3,3,4,4,5,5,...]. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 15 2009]
%F A034008 a(n) = 2^(n-2), n >= 2; a(0)=1, a(1)=0; G.f.: (1-x)^2/(1-2*x).
%o A034008 (PARI) a(n)=if(n<2,n==0,2^(n-2))
%Y A034008 First differences of 2^(n-1) (A011782). Cf. A011782.
%Y A034008 Sequence in context: A155559 A166687 A011782 this_sequence A123344 A131577 
               A141531
%Y A034008 Adjacent sequences: A034005 A034006 A034007 this_sequence A034009 A034010 
               A034011
%K A034008 easy,nonn,new
%O A034008 0,4
%A A034008 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
%E A034008 Additional comments from Barry E. Williams, May 27 2000 and from Michael 
               Somos, Jun 18, 2002