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%I #13 Jan 17 2018 04:30:57
%S 0,1,2,2,2,2,2,2,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,12,12,13,14,14,15,
%T 16,16,16,16,16,16,16,16,17,18,18,18,18,18,18,18,18,19,20,20,20,20,20,
%U 20,20,20,21,22,22,22,22,22,22,22,22,23,24,24,24,24,24,24,24,24,25,26,26,26,26,26,26,26,26,27,28,28,28,28,28,28,28,28,29,30,30,31,32,32,33,34,34,35,36,36,37
%N Partial sums of A189816.
%H G. C. Greubel, <a href="/A189819/b189819.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = [(n+1)/3] - a([(n+1)/3]) + [n/3] - a([n/3]), starting with a(0)=0, where []=floor.
%t a[0] = 0; h = 150; Table[a[n] = Floor[(n + 1)/3] - a[Floor[(n + 1)/3]] + Floor[n/3] - a[Floor[n/3]], {n, 1, h}]
%Y Cf. A189816, A189817, A189818.
%K nonn
%O 1,3
%A _Clark Kimberling_, Apr 28 2011
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