login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A047267 Numbers that are congruent to {0, 2, 5} mod 6. 3
0, 2, 5, 6, 8, 11, 12, 14, 17, 18, 20, 23, 24, 26, 29, 30, 32, 35, 36, 38, 41, 42, 44, 47, 48, 50, 53, 54, 56, 59, 60, 62, 65, 66, 68, 71, 72, 74, 77, 78, 80, 83, 84, 86, 89, 90, 92, 95, 96, 98, 101, 102, 104, 107, 108, 110, 113, 114, 116, 119, 120, 122, 125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..63.

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

FORMULA

a(n) = 3*n-3*floor(n/3)-(n^2 mod 3), with offset 0. - Gary Detlefs, Mar 19 2010

G.f.: x^2*(x+2)*(1+x) / ((1+x+x^2)*(x-1)^2). - R. J. Mathar, Oct 08 2011

From Wesley Ivan Hurt, Jun 13 2016: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.

a(n) = (6*n-5+2*cos(2*n*Pi/3))/3.

a(3k) = 6k-1, a(3k-1) = 6k-4, a(3k-2) = 6k-6. (End)

E.g.f.: (3 +  (6*x - 5)*exp(x) + 2*cos(sqrt(3)*x/2)*(cosh(x/2) - sinh(x/2)))/3. - Ilya Gutkovskiy, Jun 14 2016

MAPLE

seq(3*n-3*floor(n/3)-(n^2 mod 3), n=0..54); # Gary Detlefs, Mar 19 2010

MATHEMATICA

Select[Range[0, 110], MemberQ[{0, 2, 5}, Mod[#, 6]]&] (* or *) LinearRecurrence[{1, 0, 1, -1}, {0, 2, 5, 6}, 60] (* Harvey P. Dale, Aug 31 2015 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 6 in [0, 2, 5]]; // Wesley Ivan Hurt, Jun 13 2016

CROSSREFS

Cf. A011655. [Gary Detlefs, Mar 19 2010]

Sequence in context: A108857 A132142 A045751 * A058591 A247062 A059009

Adjacent sequences:  A047264 A047265 A047266 * A047268 A047269 A047270

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

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 April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)