A194178 - OEIS

%I #5 Mar 30 2012 18:57:40

%S 0,1,2,4,6,9,13,17,22,27,32,38,45,52,60,68,76,85,95,105,116,127,138,

%T 150,163,176,190,204,218,233,248,264,280,296,313,331,350,369,389,409,

%U 430,452,474,497,520,543,567,592,617,643,669,695,722,750,778,807

%N Partial sums of A194177.

%t r = Sqrt[8];

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

%t Table[a[n], {n, 1, 90}]  (* A194177 *)

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

%t Table[s[n], {n, 1, 100}]  (* A194178 *)

%Y Cf. A194177.

%K nonn

%O 1,3

%A _Clark Kimberling_, Aug 18 2011