

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(n1) + a(n16)  a(n17) 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



