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Search: id:A071074
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| A071074 |
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Sprague-Grundy values for the game of Double Kayles (octal game .7777). |
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+0
3
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| 0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 8, 9, 7, 6, 5, 4, 3, 2, 8, 9, 4, 5, 12, 13, 9, 8, 2, 3, 4, 5, 15, 14, 3, 2, 8, 9, 7, 6, 5, 4, 3, 2, 8, 9, 13, 12, 15, 14, 9, 8, 2, 3, 4, 5, 16, 17, 10, 11, 8, 9, 14, 15, 5, 4, 3, 2, 16, 17, 13, 12, 15, 14, 9, 8, 2, 3, 4, 5, 6, 7, 3, 2, 8, 9, 14, 15, 5, 4, 3, 2
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 98.
J. H. Conway, On Numbers and Games, Second Edition. A K Peters, Ltd, 2001, p. 129.
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LINKS
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Achim Flammenkamp, Octal games
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FORMULA
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Let b=A002186. Cases A, B: b(n)=0, 2, 5, 7. Cases C, D: b(n)=1, 3, 4, 6, 8. Cases A, C: n even. Cases B, D: n odd. Cases A, D: a(2n)=2*b(n), a(2n+1)=2*b(n)+1. Cases B, C: a(2n)=2*b(n)+1, a(2n+1)=2*b(n).
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CROSSREFS
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Cf. A002186.
Sequence in context: A066990 A097449 A104415 this_sequence A066323 A115871 A138221
Adjacent sequences: A071071 A071072 A071073 this_sequence A071075 A071076 A071077
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 26 2002
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EXTENSIONS
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Edited and extended by Christian G. Bower (bowerc(AT)usa.net), Oct 22 2002
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