A194228 - OEIS

%I #7 Dec 12 2024 11:39:57

%S 0,0,1,2,4,7,10,13,16,20,24,29,35,41,47,53,60,67,75,84,93,102,111,121,

%T 131,142,154,166,178,190,203,216,230,245,260,275,290,306,322,339,357,

%U 375,393,411,430,449,469,490,511,532,553,575,597,620,644,668,692

%N Partial sums of A194227.

%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1, 0, 0, 0, 0, 1, -2, 1).

%t r = 2/7;

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

%t Table[a[n], {n, 1, 90}]    (* A194227 *)

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

%t Table[s[n], {n, 1, 100}]   (* A194228 *)

%Y Cf. A194227.

%K nonn

%O 1,4

%A _Clark Kimberling_, Aug 19 2011