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Search: id:A084964
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| A084964 |
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Follow n+2 by n. Also solution of a(n+2)=a(n)+1, a(0)=2, a(1)=0. |
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+0
17
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| 2, 0, 3, 1, 4, 2, 5, 3, 6, 4, 7, 5, 8, 6, 9, 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, 15, 13, 16, 14, 17, 15, 18, 16, 19, 17, 20, 18, 21, 19, 22, 20, 23, 21, 24, 22, 25, 23, 26, 24, 27, 25, 28, 26, 29, 27, 30, 28, 31, 29, 32, 30, 33, 31, 34, 32, 35, 33, 36, 34, 37, 35, 38, 36, 39
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for two-way infinite sequences
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FORMULA
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G.f.: (2-2x+x^2)/((1-x)(1-x^2)). a(2n+1)=n. a(2n)=n+2. a(n+2)=a(n)+1. a(n)=-a(-3-n).
a(n) = floor(n/2) + 1 + (-1)^n. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 27 2005
A112032(n)=2^a(n); A112033(n)=3*2^a(n); a(n)=A109613(n+2)-A052938(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 27 2005
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MATHEMATICA
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lst={}; a=1; Do[a=n-a; AppendTo[lst, a], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 14 2008]
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PROGRAM
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(PARI) a(n)=n\2-2*(n%2)+2
(MAGMA) &cat[ [n+2, n]: n in [0..37] ]; [From Klaus Brockhaus, Nov 23 2009]
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CROSSREFS
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Cf. A030451.
Cf. A097065.
Cf. A152832 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 14 2008]
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KEYWORD
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nonn,new
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AUTHOR
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Michael Somos, Jun 15 2003
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EXTENSIONS
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First part of definition adjusted to match offset by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 23 2009
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