%I A086972
%S A086972 1,3,11,41,149,527,1823,6197,20777,68891,226355,738113,2391485,7705895,
%T A086972 24712007,78918989,251105873,796364339,2518233179,7942120025,
%U A086972 24988621541,78452649023,245818300271,768835960421,2400651060089
%N A086972 n*3^(n-1) + (3^n+1)/2.
%C A086972 Binomial transform of A057711 (without leading zero). Second binomial 
               transform of (1,1,3,3,5,5,7,7,9,9,11,11,...).
%F A086972 G.f.: (1-4x+5x^2)/((1-x)(1-3x)^2)); a(n)==A027471(n)+A007051(n).
%Y A086972 Equals (1/2) [A081038(n) + 1].
%Y A086972 Sequence in context: A131526 A073622 A075276 this_sequence A077831 A032952 
               A001835
%Y A086972 Adjacent sequences: A086969 A086970 A086971 this_sequence A086973 A086974 
               A086975
%K A086972 easy,nonn
%O A086972 0,2
%A A086972 Paul Barry (pbarry(AT)wit.ie), Jul 26 2003