A156346 Palindromic period of length 12: repeat 1,2,-4,4,-2,-1,-1,-2,4,-4,2,1.

1, 2, -4, 4, -2, -1, -1, -2, 4, -4, 2, 1, 1, 2, -4, 4, -2, -1, -1, -2, 4, -4, 2, 1, 1, 2, -4, 4, -2, -1, -1, -2, 4, -4, 2, 1, 1, 2, -4, 4, -2, -1, -1, -2, 4, -4, 2, 1

Offset

0,2

Links

Table of n, a(n) for n=0..47.

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

Formula

a(n) == A154811(n) (mod 9).

a(n) = ( (2*A154811(n)) mod 9 ) - A154811(n).

G.f.: -(x-1)*(x^4+3*x^3-x^2+3*x+1) / ( (1+x^2)*(x^4-x^2+1) ). - R. J. Mathar, Mar 08 2011

Mathematica

PadRight[{}, 50, {1, 2, -4, 4, -2, -1, -1, -2, 4, -4, 2, 1}] (* Harvey P. Dale, May 29 2021 *)

Crossrefs

Cf. A156283.

Sequence in context: A107500 A108620 A070512 * A156283 A126123 A285349

Adjacent sequences: A156343 A156344 A156345 * A156347 A156348 A156349

Keyword

easy,sign

Author

Paul Curtz, Feb 08 2009

Status

approved