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Search: id:A163577
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| 0, 0, 0, 0, 2, 0, 1, 0, 2, 4, 1, 0, 5, 2, 2, 0, 2, 4, 5, 8, 5, 2, 4, 0, 5, 10, 4, 4, 10, 4, 4, 0, 2, 4, 5, 8, 9, 10, 12, 16, 5, 10, 6, 4, 12, 8, 8, 0, 5, 10, 12, 20, 12, 8, 12, 8, 10, 20, 8, 8, 20, 8, 8, 0, 2, 4, 5, 8, 9, 10, 12, 16, 9, 18, 14, 20, 20, 24, 24, 32, 5, 10, 14, 20, 14, 12, 16, 8, 12, 24
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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For every solution x, binomial(n,x) is 4 times an odd integer.
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LINKS
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V. Shevelev, Binomial predictors, arXiv:0907.3302
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EXAMPLE
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For n=8, there are a(8)=2 solutions, namely x=2 and x=6.
For n=9, there are a(9)=4 solutions, namely x=2, 3, 6 and 7.
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MAPLE
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read("transforms") ; A000120 := proc(n) wt(n) ; end:
A163577 := proc(n) local a, x ; a := 0 ; for x from 0 to n do if A000120(x)+A000120(n-x) = A000120(n)+2 then a := a+1; fi; od: a; end:
seq(A163577(n), n=0..130) ; # R. J. Mathar, Jul 08 2009
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CROSSREFS
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Cf. A000120, A163000 ,A007814
Sequence in context: A104597 A072662 A030010 this_sequence A132178 A039655 A103775
Adjacent sequences: A163574 A163575 A163576 this_sequence A163578 A163579 A163580
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 31 2009
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EXTENSIONS
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Extended beyond a(22), examples added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2009
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