

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
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OFFSET

1,5


LINKS

Table of n, a(n) for n=1..74.


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
Adjacent sequences: A194224 A194225 A194226 * A194228 A194229 A194230


KEYWORD

nonn


AUTHOR

Clark Kimberling, Aug 19 2011


STATUS

approved



