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Partial sums of A194169.
3

%I #9 Nov 12 2017 02:52:10

%S 0,0,1,3,5,7,10,14,18,22,27,33,39,45,52,60,68,76,84,93,103,113,124,

%T 135,147,159,172,185,199,213,228,243,259,275,291,308,325,343,362,381,

%U 401,422,443,464,486,509,532,555,579,603,628,653,678,704,731,758

%N Partial sums of A194169.

%H G. C. Greubel, <a href="/A194170/b194170.txt">Table of n, a(n) for n = 1..1000</a>

%t r = Sqrt[5];

%t a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]

%t Table[a[n], {n, 1, 90}] (* A194169 *)

%t s[n_] := Sum[a[k], {k, 1, n}]

%t Table[s[n], {n, 1, 100}] (* A194170 *)

%Y Cf. A194169.

%K nonn

%O 1,4

%A _Clark Kimberling_, Aug 18 2011