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A194207 Partial sums of A194206. 3
0, 0, 0, 1, 3, 5, 8, 12, 16, 20, 25, 31, 37, 44, 51, 59, 67, 76, 85, 95, 106, 117, 129, 141, 154, 167, 181, 196, 211, 226, 242, 258, 275, 293, 312, 331, 350, 369, 389, 410, 431, 453, 475, 498, 521, 545, 569, 594, 620, 646, 672, 699, 726, 754, 783, 812, 842 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

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

MATHEMATICA

r = Pi;

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

Table[a[n], {n, 1, 90}]  (* A194206 *)

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

Table[s[n], {n, 1, 100}] (* A194207 *)

CROSSREFS

Cf. A194206.

Sequence in context: A023660 A161339 A023562 * A236538 A194176 A186494

Adjacent sequences:  A194204 A194205 A194206 * A194208 A194209 A194210

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 19 2011

STATUS

approved

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Last modified August 9 13:57 EDT 2020. Contains 336323 sequences. (Running on oeis4.)