%I A129362
%S A129362 1,1,4,8,19,37,80,160,331,661,1344,2688,5419,10837,21760,43520,87211,
%T A129362 174421,349184,698368,1397419,2794837,5591040,11182080,22366891,
%U A129362 44733781,89473024,178946048,357903019,715806037
%N A129362 a(n)=sum{k=floor((n+1)/2)..n, J(k+1)}, J(n)=A001045(n).
%F A129362 G.f.: (1+2x^3)/((1-x-2x^2)(1-x^2-2x^4)); a(n)=a(n-1)+3a(n-2)-a(n-3)-2a(n-5)-4a(n-6); 
               a(n)=sum{k=0..floor(n/2), J(n-k+1)}; a(n)=sum{k=0..n, J(k+1)-J((k+1)/
               2)(1-(-1)^k)/2}; a(n)=sum{k=0..n, J(k+1)}-sum{k=0..floor((n-1)/2), 
               J(k+1)}
%Y A129362 Cf. A129361.
%Y A129362 Sequence in context: A130887 A049933 A163318 this_sequence A083579 A104626 
               A065034
%Y A129362 Adjacent sequences: A129359 A129360 A129361 this_sequence A129363 A129364 
               A129365
%K A129362 easy,nonn
%O A129362 0,3
%A A129362 Paul Barry (pbarry(AT)wit.ie), Apr 11 2007