login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A227353 Number of lattice points in the closed region bounded by the graphs of y = 3*x/5, x = n, and y = 0, excluding points on the x-axis. 2
0, 1, 2, 4, 7, 10, 14, 18, 23, 29, 35, 42, 49, 57, 66, 75, 85, 95, 106, 118, 130, 143, 156, 170, 185, 200, 216, 232, 249, 267, 285, 304, 323, 343, 364, 385, 407, 429, 452, 476, 500, 525, 550, 576, 603, 630, 658, 686, 715, 745, 775, 806, 837, 869, 902, 935 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A227347.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 1, -2, 1).

FORMULA

a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2a(n-6) + a(n-7).

G.f.:  (x (1 + x^2 + x^3))/((1 - x)^3 (1 + x + x^2 + x^3 + x^4)).

EXAMPLE

a(1) = floor(3/5) = 0; a(2) = floor(6/5) = 1; a(3) = a(2) + floor(9/5) = 2; a(4) = a(2) + a(3) + floor(12/5) = 4.

MATHEMATICA

z = 150; r = 3/5; k = 1; a[n_] := Sum[Floor[r*x^k], {x, 1, n}]; t = Table[a[n], {n, 1, z}]

CROSSREFS

Cf. A227347, A130520, A011858, A033437.

Sequence in context: A194244 A014616 A184674 * A183136 A144873 A120679

Adjacent sequences:  A227350 A227351 A227352 * A227354 A227355 A227356

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 08 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)