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A194164 Partial sums of A194163. 3
0, 1, 2, 4, 6, 9, 12, 16, 20, 25, 30, 36, 42, 48, 55, 63, 72, 81, 91, 101, 112, 123, 135, 147, 159, 171, 184, 198, 212, 227, 243, 259, 275, 292, 310, 328, 346, 365, 384, 404, 424, 445, 466, 487, 509, 532, 555, 578, 602, 627, 652, 677, 703, 730, 757, 785 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MATHEMATICA

r = Sqrt[3];

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

Table[a[n], {n, 1, 90}]      (* A194163 *)

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

Table[s[n], {n, 1, 100}]     (* A194164 *)

PROG

(PARI) for(n=1, 50, print1(sum(j=1, n, floor(sum(k=1, j, frac(k*sqrt(3))))), ", ")) \\ G. C. Greubel, Oct 29 2017

CROSSREFS

Cf. A194163.

Sequence in context: A194174 A168048 A075354 * A194254 A086378 A088900

Adjacent sequences:  A194161 A194162 A194163 * A194165 A194166 A194167

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 18 2011

STATUS

approved

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Last modified May 20 23:05 EDT 2022. Contains 353886 sequences. (Running on oeis4.)