login
A194227
[sum{(2k/7) : 1<=k<=n}], where [ ]=floor, ( )=fractional part.
2
0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 7, 7, 8, 9, 9, 9, 9, 10, 10, 11, 12, 12, 12, 12, 13, 13, 14, 15, 15, 15, 15, 16, 16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 21, 21, 21, 22, 22, 23, 24, 24, 24, 24, 25, 25, 26, 27, 27, 27, 27, 28, 28, 29, 30, 30, 30, 30, 31, 31
OFFSET
1,5
MATHEMATICA
r = 2/7;
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}] (* A194227 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194228 *)
CROSSREFS
Cf. A194227.
Sequence in context: A130822 A194220 A189627 * A194819 A194235 A029120
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 19 2011
STATUS
approved