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A194255
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[sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=4-sqrt(12).
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2
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0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 16, 16, 17, 18, 19, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 27, 27, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 33, 34, 34, 34, 35, 35
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OFFSET
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1,5
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LINKS
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Table of n, a(n) for n=1..73.
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MATHEMATICA
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r = 4-Sqrt[12];
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}] (* A194255 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194256 *)
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CROSSREFS
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Cf. A194255.
Sequence in context: A025153 A026803 A027192 * A194245 A179211 A180639
Adjacent sequences: A194252 A194253 A194254 * A194256 A194257 A194258
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Aug 20 2011
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STATUS
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approved
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