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A156346 Palindromic period of length 12: repeat 1,2,-4,4,-2,-1,-1,-2,4,-4,2,1. 2
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 (list; graph; refs; listen; history; text; internal format)
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).

12*a(n) = [(n+1) mod 12] -6*[(n+2) mod 12] +8*[(n+3) mod 12] -6*[(n+4) mod 12] +[(n+5) mod 12] -[(n+7) mod 12] +6*[(n+8) mod 12] -8*[(n+9) mod 12] +6*[(n+10) mod 12] -[(n+11) mod 12]. [From Paolo P. Lava, Feb 25 2009]

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

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Last modified June 16 14:16 EDT 2021. Contains 345057 sequences. (Running on oeis4.)