A158678 Period 18: repeat 0,0,0,3,0,0,0,3,0,-3,0,3,0,-3,0,0,0,-3.

0, 0, 0, 3, 0, 0, 0, 3, 0, -3, 0, 3, 0, -3, 0, 0, 0, -3, 0, 0, 0, 3, 0, 0, 0, 3, 0, -3, 0, 3, 0, -3, 0, 0, 0, -3, 0, 0, 0, 3, 0, 0, 0, 3, 0, -3, 0, 3, 0, -3, 0, 0, 0, -3

Offset

1,4

Links

Table of n, a(n) for n=1..54.

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

Formula

a(n) = A158674(n) - A158677(n) = a(n-18).

G.f.: 3*(1+x+x^2)*(x^2-x+1)*(x^4-x^2+1)*x^4/((x^6-x^3+1)*(x^6+x^3+1)). - R. J. Mathar, Apr 08 2009

a(n) = - a(n-6) - a(n-12) for n > 12. - Chai Wah Wu, Feb 18 2021

Crossrefs

Cf. A158674, A158677.

Sequence in context: A285014 A219551 A200221 * A117980 A065032 A007514

Adjacent sequences: A158675 A158676 A158677 * A158679 A158680 A158681

Keyword

sign,easy

Author

Paul Curtz, Mar 24 2009

Extensions

Edited by R. J. Mathar, Apr 08 2009

Status

approved