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A109017
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Kronecker symbol (-6/n).
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1
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0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| L. B. W. Jolley, Summation of Series, Dover (1961)
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LINKS
| Eric Weisstein's World of Mathematics, Kronecker Symbol
Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,1,0,0,0,-1).
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FORMULA
| Euler transform of length 24 sequence [0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1].
a(24+n)=a(n)=-a(-n).
G.f.: x*(1+x^6)/ (1-x^4+x^8) = x*(1-x^8)*(1-x^12)^2/ ((1-x^4)*(1-x^6)*(1-x^24)).
sum_{n=1..infinity} |a(n)|/n^2 = Pi^2/9 [Jolley eq 338]
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MAPLE
| A109017 := proc(n)
numtheory[jacobi](-6, n) ;
end proc: # R. J. Mathar, Nov 03 2011
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PROG
| (PARI) a(n)=kronecker(-6, n)
(PARI) a(n)=(n%2)*(n%3!=0)*(-1)^(n\12)
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CROSSREFS
| Sequence in context: A122415 * A110161 A134667 A117943 A096268 A079101
Adjacent sequences: A109014 A109015 A109016 * A109018 A109019 A109020
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KEYWORD
| sign,mult
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AUTHOR
| Michael Somos, Jun 16 2005
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