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%I #9 Nov 12 2017 02:52:06
%S 0,0,1,3,5,7,10,14,18,22,27,33,39,45,52,60,68,76,85,94,104,115,126,
%T 138,150,162,175,188,202,217,232,248,264,280,297,314,332,350,369,388,
%U 408,429,450,471,493,516,539,562,586,610,635,660,686,712,739,767
%N Partial sums of A194165.
%H G. C. Greubel, <a href="/A194166/b194166.txt">Table of n, a(n) for n = 1..1000</a>
%t r = GoldenRatio;
%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
%t Table[a[n], {n, 1, 90}] (* A194165 *)
%t s[n_] := Sum[a[k], {k, 1, n}]
%t Table[s[n], {n, 1, 100}] (* A194166 *)
%Y Cf. A194165.
%K nonn
%O 1,4
%A _Clark Kimberling_, Aug 18 2011
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