A047440 Numbers that are congruent to {2, 5, 6} mod 8.

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

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 A344314 A369020

Adjacent sequences: A047437 A047438 A047439 * A047441 A047442 A047443

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved