A047402 Numbers that are congruent to {2, 3, 6} mod 8.

2, 3, 6, 10, 11, 14, 18, 19, 22, 26, 27, 30, 34, 35, 38, 42, 43, 46, 50, 51, 54, 58, 59, 62, 66, 67, 70, 74, 75, 78, 82, 83, 86, 90, 91, 94, 98, 99, 102, 106, 107, 110, 114, 115, 118, 122, 123, 126, 130, 131, 134, 138, 139, 142, 146, 147, 150, 154, 155, 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

a(n) = a(n-3) + 8. - Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 14 2006

G.f.: x*(2+x+3*x^2+2*x^3)/((1+x+x^2)*(x-1)^2). - R. J. Mathar, Jul 08 2011

From Wesley Ivan Hurt, Jun 09 2016: (Start)

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

a(n) = (24*n - 15 - 3*cos(2*n*Pi/3) + 5*sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 8k-2, a(3k-1) = 8k-5, a(3k-2) = 8k-6. (End)

Maple

A047402:=n->(24*n-15-3*cos(2*n*Pi/3)+5*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047402(n), n=1..100); # Wesley Ivan Hurt, Jun 09 2016

Mathematica

Flatten[#+{2, 3, 6}&/@(8Range[0, 20])] (* or *) LinearRecurrence[{1, 0, 1, -1}, {2, 3, 6, 10}, 70] (* Harvey P. Dale, Nov 03 2013 *)

Prog

(Magma) [n : n in [0..150] | n mod 8 in [2, 3, 6]]; // Wesley Ivan Hurt, Jun 09 2016

Crossrefs

Sequence in context: A048633 A225175 A286954 * A088196 A112925 A193246

Adjacent sequences: A047399 A047400 A047401 * A047403 A047404 A047405

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved