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A156346
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Palindromic period of length 12: repeat 1,2,-4,4,-2,-1,-1,-2,4,-4,2,1.
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2
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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; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,-1)
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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 (paoloplava(AT)gmail.com), 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
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CROSSREFS
| Cf. A156283.
Sequence in context: A108620 A070512 A156283 * A126123 A096832 A016588
Adjacent sequences: A156343 A156344 A156345 * A156347 A156348 A156349
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KEYWORD
| easy,sign
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Feb 08 2009
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