

A194212


[sum{(2k*pi) : 1<=k<=n}], where [ ]=floor, ( )=fractional part.


2



0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 23, 23, 23, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 31, 32, 32, 33, 34, 34, 34, 35, 35, 36, 36
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OFFSET

1,5


LINKS

Table of n, a(n) for n=1..73.


MATHEMATICA

r = 2Pi;
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}] (* A194212 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194213 *)


CROSSREFS

Cf. A194213.
Sequence in context: A023190 A047783 A321667 * A194208 A057358 A038128
Adjacent sequences: A194209 A194210 A194211 * A194213 A194214 A194215


KEYWORD

nonn


AUTHOR

Clark Kimberling, Aug 19 2011


STATUS

approved



