%I A080925
%S A080925 0,1,5,13,41,121,365,1093,3281,9841,29525,88573,265721,797161,2391485,
%T A080925 7174453,21523361,64570081,193710245,581130733,1743392201,5230176601,
%U A080925 15690529805,47071589413,141214768241,423644304721,1270932914165
%N A080925 Binomial transform of Jacobsthal gap sequence (A080924).
%F A080925 a(n)=Sum{k=1..n, Binomial(n, 2k-2)2^(2k-2)}
%F A080925 a(n)=(3^n-2*0^n+(-1)^n)/2; G.f.: x(1+3x)/((1+x)(1-3x)); E.g.f.: (exp(3x)-2exp(0)+exp(-x))/
               2. - Paul Barry (pbarry(AT)wit.ie), May 19 2003
%Y A080925 Cf. A046717, A080926.
%Y A080925 Sequence in context: A080267 A034735 A046717 this_sequence A164907 A085601 
               A147718
%Y A080925 Adjacent sequences: A080922 A080923 A080924 this_sequence A080926 A080927 
               A080928
%K A080925 easy,nonn
%O A080925 0,3
%A A080925 Paul Barry (pbarry(AT)wit.ie), Feb 26 2003
%E A080925 Removed duplicate of a formula - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Sep 03 2009