%I
%S 1,1,4,8,19,37,80,160,331,661,1344,2688,5419,10837,21760,43520,87211,
%T 174421,349184,698368,1397419,2794837,5591040,11182080,22366891,
%U 44733781,89473024,178946048,357903019,715806037
%N a(n) = sum{k=floor((n+1)/2)..n, J(k+1)}, J(n) = A001045(n).
%H Harvey P. Dale, <a href="/A129362/b129362.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,3,1,0,2,4)
%F G.f.: (1+2x^3)/((1x2x^2)(1x^22x^4)).
%F a(n) = a(n1) + 3a(n2)  a(n3)  2a(n5)  4a(n6).
%F a(n) = sum{k=0..floor(n/2), J(nk+1)}.
%F a(n) = sum{k=0..n, J(k+1)J((k+1)/2)(1(1)^k)/2}.
%F a(n) = sum{k=0..n, J(k+1)}sum{k=0..floor((n1)/2), J(k+1)}.
%t LinearRecurrence[{1,3,1,0,2,4},{1,1,4,8,19,37},30] (* _Harvey P. Dale_, Oct 22 2011 *)
%Y Cf. A129361.
%K easy,nonn
%O 0,3
%A _Paul Barry_, Apr 11 2007
