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Search: id:A152832
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| A152832 |
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a(0)=-2; a(n)=n-a(n-1). |
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+0 12
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| -2, 3, -1, 4, 0, 5, 1, 6, 2, 7, 3, 8, 4, 9, 5, 10, 6, 11, 7, 12, 8, 13, 9, 14, 10, 15, 11, 16, 12, 17, 13, 18, 14, 19, 15, 20, 16, 21, 17, 22, 18, 23, 19, 24, 20, 25, 21, 26, 22, 27, 23, 28, 24, 29, 25, 30, 26, 31, 27, 32, 28, 33, 29, 34, 30, 35, 31, 36, 32, 37, 33, 38, 34, 39, 35
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n)= (n+1)/2-(9*(-1)^n+1)/4. G.f.: -(2*x-1)*(x-2)/((1+x)*(x-1)^2). a(n)=a(n-1)+a(n-2)-a(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 03 2009, Aug 14 2009]
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MATHEMATICA
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lst={}; a=2; Do[a=n-a; AppendTo[lst, a], {n, 0, 6!}]; lst
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CROSSREFS
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Cf. A084964
Sequence in context: A122078 A126736 A127412 this_sequence A039661 A081877 A049076
Adjacent sequences: A152829 A152830 A152831 this_sequence A152833 A152834 A152835
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KEYWORD
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sign
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 14 2008
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EXTENSIONS
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Definition corrected by N. J. A. Sloane (njas(AT)research.att.com), Jan 11 2009
Formula adapted to offset by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 14 2009
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