A194180 - OEIS

A194180

Partial sums of A194179.

0, 0, 1, 3, 5, 8, 12, 16, 21, 27, 33, 40, 47, 55, 64, 73, 83, 94, 105, 116, 128, 141, 154, 168, 182, 197, 213, 229, 245, 262, 279, 297, 316, 335, 354, 374, 394, 415, 437, 459, 481, 504, 527, 551, 575, 600, 625, 651, 677, 703, 730, 757, 784, 812, 840

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..55.

MATHEMATICA

r = 1/2+Sqrt[8];

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

Table[a[n], {n, 1, 90}] (* A194179 *)

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

Table[s[n], {n, 1, 100}] (* A194180 *)

CROSSREFS

Cf. A194178.

Sequence in context: A194176 A186494 A371702 * A000212 A183139 A094913

Adjacent sequences: A194177 A194178 A194179 * A194181 A194182 A194183

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 18 2011

STATUS

approved