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%I #9 Apr 10 2021 23:58:18
%S 0,0,0,0,0,0,1,1,2,2,3,3,4,4,5,6,7,8,8,9,10,10,11,11,11,11,11,12,12,
%T 12,13,13,14,15,15,16,17,17,18,19,20,21,21,21,21,22,22,22,22,23,23,24,
%U 24,25,25,26,27,27,28,29,30,31,32,32,32,32,32,32,32,33,33,34,34
%N a(n) = floor(Sum_{k=1..n} <k*Pi/3>), where < > denotes fractional part.
%t r = Pi/3;
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194210 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194211 *)
%Y Cf. A194211.
%K nonn
%O 1,9
%A _Clark Kimberling_, Aug 19 2011
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