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Search: id:A154870
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| A154870 |
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7,5,1,-7,-5,-1 repeated with period length 6. |
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+0
2
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| 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1, -7, -5, -1, 7, 5, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The sequence b(n) = (-A153130(n)) mod 9 = A153130(n+3) = A146501(n-1) = 8, 7, 5, 1, 2, 4,... has period length 6. This here is a(n)=b(n)-A153130(n).
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FORMULA
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a(n)=(1/3)*{-4*(n mod 6)-2*[(n+1) mod 6]-[(n+2) mod 6]+4*[(n+3) mod 6]+2*[(n+4) mod 6]+[(n+5) mod 6]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 19 2009]
a(n) = -a(n-3). G.f.: (7+5x+x^2)/((1+x)(1-x+x^2)). [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009]
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CROSSREFS
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Sequence in context: A156536 A110191 A021575 this_sequence A098687 A021137 A073742
Adjacent sequences: A154867 A154868 A154869 this_sequence A154871 A154872 A154873
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KEYWORD
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sign,easy
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jan 16 2009
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009
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