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A194237 a(n) = [Sum_{k=1..n} (3k/8)], where [ ]=floor, ( )=fractional part. 3
0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 31, 31, 31, 32 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

FORMULA

From Chai Wah Wu, Jun 10 2020: (Start)

a(n) = a(n-1) + a(n-16) - a(n-17) for n > 17.

G.f.: x*(x^14 + x^12 + x^11 + x^9 + x^6 + x^4 + x)/(x^17 - x^16 - x + 1). (End)

MATHEMATICA

r = 3/8;

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

Table[a[n], {n, 1, 90}]    (* A194237 *)

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

Table[s[n], {n, 1, 100}]   (* A194238 *)

CROSSREFS

Cf. A194238.

Sequence in context: A269862 A194200 A242736 * A145707 A145703 A334231

Adjacent sequences:  A194234 A194235 A194236 * A194238 A194239 A194240

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 20 2011

STATUS

approved

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Last modified February 26 16:54 EST 2021. Contains 341632 sequences. (Running on oeis4.)