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A194238 Partial sums of A194237. 3
0, 1, 2, 3, 5, 7, 10, 13, 16, 20, 24, 29, 35, 41, 48, 55, 62, 70, 78, 86, 95, 104, 114, 124, 134, 145, 156, 168, 181, 194, 208, 222, 236, 251, 266, 281, 297, 313, 330, 347, 364, 382, 400, 419, 439, 459, 480, 501, 522, 544, 566, 588, 611, 634, 658, 682, 706 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
From Chai Wah Wu, Jun 10 2020: (Start)
a(n) = 2*a(n-1) - a(n-2) + a(n-16) - 2*a(n-17) + a(n-18) for n > 18.
G.f.: x*(-x^14 - x^12 - x^11 - x^9 - x^6 - x^4 - x)/(x^18 - 2*x^17 + x^16 - x^2 + 2*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. A194237.
Sequence in context: A008738 A022790 A248360 * A364090 A270192 A053034
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 20 2011
STATUS
approved

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Last modified May 30 14:34 EDT 2024. Contains 372968 sequences. (Running on oeis4.)