A156536 Period 12: repeat 7,5,-1,1,-5,-7,-7,-5,1,-1,5,7.

7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7, 7, 5

Offset

0,1

Links

Table of n, a(n) for n=0..85.

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

Formula

a(n) = A154811(n+6) - A154811(n).

From R. J. Mathar, Apr 10 2009: (Start)

a(n) = -a(n-6).

G.f.: -(x-1)*(7*x^4 + 12*x^3 + 11*x^2 + 12*x + 7)/((1+x^2)*(x^4 - x^2 + 1)). (End)

G.f.: (-7*x^5 - 5*x^4 + x^3 - x^2 + 5*x + 7)/(x^6 + 1). - Chai Wah Wu, Feb 16 2021

Mathematica

PadRight[{}, 120, {7, 5, -1, 1, -5, -7, -7, -5, 1, -1, 5, 7}] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, -1}, {7, 5, -1, 1, -5, -7}, 120] (* Harvey P. Dale, Oct 15 2023 *)

Crossrefs

Cf. A154870.

Sequence in context: A241837 A145176 A093205 * A110191 A233090 A254177

Adjacent sequences: A156533 A156534 A156535 * A156537 A156538 A156539

Keyword

sign,easy

Author

Paul Curtz, Feb 09 2009

Extensions

Edited by R. J. Mathar, Apr 10 2009

Status

approved