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A194249 [sum{(rk) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=3-sqrt(6). 2
0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 23, 24, 24, 24, 25, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 30, 31, 31, 32, 33, 33, 34, 35, 35, 35, 35 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

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

MATHEMATICA

r = 3-Sqrt[6];

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

Table[a[n], {n, 1, 90}]    (* A194249 *)

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

Table[s[n], {n, 1, 100}]   (* A194250 *)

Accumulate[Table[FractionalPart[(3-Sqrt[6])n], {n, 80}]]//Floor (* Harvey P. Dale, Jun 22 2016 *)

CROSSREFS

Cf. A194249.

Sequence in context: A162620 A304115 A338365 * A285759 A082997 A085970

Adjacent sequences:  A194246 A194247 A194248 * A194250 A194251 A194252

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 20 2011

STATUS

approved

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Last modified June 19 15:47 EDT 2021. Contains 345142 sequences. (Running on oeis4.)