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a(n) = [ sum of 1/{k*sqrt(6)} ] for k = 1,2,...,n, where {x} := x - [ x ].
2

%I #8 Aug 03 2014 14:27:15

%S 2,3,6,7,11,12,19,21,43,45,46,49,50,53,55,60,61,72,74,75,77,79,82,83,

%T 87,88,96,98,126,128,129,132,133,136,138,143,145,157,159,160,163,164,

%U 167,168,172,174,182,184,224,226,227,229,231,234,236,242,243,257,259,260,263,264,267

%N a(n) = [ sum of 1/{k*sqrt(6)} ] for k = 1,2,...,n, where {x} := x - [ x ].

%H Clark Kimberling, <a href="/A024561/b024561.txt">Table of n, a(n) for n = 1..1000</a>

%t Table[Floor[Sum[1/FractionalPart[k*Sqrt[6]], {k, 1, n}]], {n, 1, 100}]

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

%Y Cf. A024560.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E Offset changed by _Clark Kimberling_, Aug 16 2012