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Search: id:A109017
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| A109017 |
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Kronecker symbol (-6/n). |
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+0
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; listen)
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OFFSET
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0,1
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LINKS
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Eric Weisstein's World of Mathematics, Kronecker Symbol
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FORMULA
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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)).
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PROGRAM
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(PARI) a(n)=kronecker(-6, n)
(PARI) a(n)=(n%2)*(n%3!=0)*(-1)^(n\12)
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CROSSREFS
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Sequence in context: A153638 A122415 A071038 this_sequence A110161 A134667 A117943
Adjacent sequences: A109014 A109015 A109016 this_sequence A109018 A109019 A109020
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Jun 16 2005
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