A194166 - OEIS

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A194166

Partial sums of A194165.

0, 0, 1, 3, 5, 7, 10, 14, 18, 22, 27, 33, 39, 45, 52, 60, 68, 76, 85, 94, 104, 115, 126, 138, 150, 162, 175, 188, 202, 217, 232, 248, 264, 280, 297, 314, 332, 350, 369, 388, 408, 429, 450, 471, 493, 516, 539, 562, 586, 610, 635, 660, 686, 712, 739, 767

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

LINKS

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

MATHEMATICA

r = GoldenRatio;

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

Table[a[n], {n, 1, 90}] (* A194165 *)

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

Table[s[n], {n, 1, 100}] (* A194166 *)

CROSSREFS