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A194239 a(n) = [Sum_{k=1..n} (r*k)], where [ ]=floor, ( )=fractional part, and r=(1+sqrt(2))/2. 2
0, 0, 1, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 11, 12, 12, 12, 13, 14, 14, 14, 14, 15, 16, 16, 16, 16, 17, 18, 18, 18, 19, 20, 20, 21, 21, 21, 22, 23, 23, 24, 24, 25, 26, 26, 26, 27, 28, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

r = (1+Sqrt[2])/2;

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

Table[a[n], {n, 1, 90}]    (* A194239 *)

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

Table[s[n], {n, 1, 100}]   (* A194240 *)

CROSSREFS

Cf. A194240.

Sequence in context: A119026 A064775 A260731 * A064475 A025774 A280168

Adjacent sequences:  A194236 A194237 A194238 * A194240 A194241 A194242

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 20 2011

STATUS

approved

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Last modified October 16 01:33 EDT 2019. Contains 328038 sequences. (Running on oeis4.)