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A194199 Partial sums of A194198. 2
0, 0, 0, 1, 3, 6, 9, 12, 16, 20, 25, 31, 37, 44, 51, 59, 67, 76, 85, 95, 105, 116, 127, 139, 151, 163, 176, 189, 203, 218, 233, 248, 264, 280, 297, 315, 333, 351, 369, 388, 407, 427, 448, 469, 490, 512, 535, 558, 582, 606, 631, 656, 682, 708, 735, 762, 790 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..57.

MATHEMATICA

r = Sqrt[10];

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

Table[a[n], {n, 1, 90}]  (* A194198 *)

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

Table[s[n], {n, 1, 100}] (* A194199 *)

CROSSREFS

Cf. A194198.

Sequence in context: A203302 A214050 A260706 * A072567 A186353 A061796

Adjacent sequences:  A194196 A194197 A194198 * A194200 A194201 A194202

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 19 2011

STATUS

approved

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Last modified December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)