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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A047440 Numbers that are congruent to {2, 5, 6} mod 8. 1
2, 5, 6, 10, 13, 14, 18, 21, 22, 26, 29, 30, 34, 37, 38, 42, 45, 46, 50, 53, 54, 58, 61, 62, 66, 69, 70, 74, 77, 78, 82, 85, 86, 90, 93, 94, 98, 101, 102, 106, 109, 110, 114, 117, 118, 122, 125, 126, 130, 133, 134, 138, 141, 142, 146, 149, 150, 154, 157, 158 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..60.

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

FORMULA

G.f.: x*(2+3*x+x^2+2*x^3)/((1+x+x^2)*(x-1)^2). - R. J. Mathar, Dec 07 2011

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

a(n) = (24*n-9-9*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 8k-2, a(3k-1) = 8k-3, a(3k-2) = 8k-6. (End)

MAPLE

A047440:=n->(24*n-9-9*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9: seq(A047440(n), n=1..100); # Wesley Ivan Hurt, Jun 09 2016

MATHEMATICA

Flatten[{#+2, #+5, #+6}&/@(8 Range[0, 20])] (* Harvey P. Dale, Dec. 19, 2010 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [2, 5, 6]]; // Wesley Ivan Hurt, Jun 09 2016

CROSSREFS

Sequence in context: A212015 A255341 A089269 * A255055 A007674 A086719

Adjacent sequences:  A047437 A047438 A047439 * A047441 A047442 A047443

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 24 04:23 EDT 2019. Contains 322406 sequences. (Running on oeis4.)