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A135695 Period 6: repeat [-1, -1, -2, -2, 3, 3]. 1
-1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1, -1, -2, -2, 3, 3, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..78.

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

FORMULA

a(n) = (1/6)*(4*(n mod 6)-5*((n+2) mod 6)+((n+4) mod 6)). - Paolo P. Lava, Mar 03 2008

From R. J. Mathar, Mar 31 2008: (Start)

a(n) = a(n-6) for n>5. a(n) = -a(n-2) - a(n-4) for n>3.

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

a(n) = (3*cos(n*Pi/3) - 9*cos(2*n*Pi/3) - 9*sqrt(3)*sin(n*Pi/3) + sqrt(3)*sin(2*n*Pi/3))/6. - Wesley Ivan Hurt, Jun 22 2016

MAPLE

A135695 := proc(n) op((n mod 6)+1, [ -1, -1, -2, -2, 3, 3]) ; end: seq(A135695(n), n=0..150) ; # R. J. Mathar, Feb 07 2009

MATHEMATICA

PadRight[{}, 100, {-1, -1, -2, -2, 3, 3}] (* Wesley Ivan Hurt, Jun 22 2016 *)

PROG

(MAGMA) &cat [[-1, -1, -2, -2, 3, 3]^^20]; // Wesley Ivan Hurt, Jun 22 2016

CROSSREFS

Cf. A105899.

Sequence in context: A079729 A288723 A071859 * A105899 A071434 A227314

Adjacent sequences:  A135692 A135693 A135694 * A135696 A135697 A135698

KEYWORD

sign,easy

AUTHOR

Paul Curtz, Feb 24 2008

EXTENSIONS

More periods from R. J. Mathar, Feb 07 2009

STATUS

approved

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Last modified October 16 13:11 EDT 2019. Contains 328073 sequences. (Running on oeis4.)