login
[ Sum of 1/{k*sqrt(3)} ], k = 1,2,...,n, where {x} := x - [ x ].
2

%I #10 Aug 03 2014 14:27:15

%S 1,3,8,9,11,13,21,22,24,27,46,48,50,54,55,56,58,64,65,67,69,79,80,82,

%T 85,115,116,118,123,124,125,128,134,135,137,139,151,152,154,158,229,

%U 230,232,237,238,239,242,249,250,252,255,270,271,273,277,278,279,281,287,288,289,292

%N [ Sum of 1/{k*sqrt(3)} ], k = 1,2,...,n, where {x} := x - [ x ].

%H Clark Kimberling, <a href="/A024550/b024550.txt">Table of n, a(n) for n = 1..1000</a>

%t Table[Floor[Sum[1/FractionalPart[k*Sqrt[3]], {k, 1, n}]], {n, 1, 100}]

%t (* _Clark Kimberling_, Aug 16 2012 *)

%Y Cf. A024549.

%K nonn

%O 1,2

%A _Clark Kimberling_