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A194223 a(n) = [sum{(k/6) : 1<=k<=n}], where [ ]=floor, ( )=fractional part. 3
0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 20, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 25, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 30, 30, 30, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

MATHEMATICA

r = 1/6;

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

Table[a[n], {n, 1, 90}]    (* A194223 *)

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

Table[s[n], {n, 1, 100}]   (* A194224 *)

PROG

(PARI) for(n=1, 50, print1(floor(sum(k=1, n, frac(k/6))), ", ")) \\ G. C. Greubel, Oct 29 2017

CROSSREFS

Cf. A194224.

Sequence in context: A239913 A323701 A226591 * A194251 A029114 A224710

Adjacent sequences:  A194220 A194221 A194222 * A194224 A194225 A194226

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 19 2011

STATUS

approved

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Last modified January 20 05:32 EST 2020. Contains 331067 sequences. (Running on oeis4.)