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A071431
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Sprague-Grundy values for octal game .17.
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0
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0, 1, 1, 0, 2, 1, 3, 0, 1, 1, 3, 2, 2, 3, 4, 1, 5, 3, 2, 2, 3, 1, 1, 0, 3, 1, 2, 0, 1, 1, 4, 4, 2, 6, 4, 1, 1, 0, 2, 1, 3, 0, 1, 1, 3, 2, 2, 3, 4, 4, 5, 7, 2, 2, 3, 1, 1, 0, 3, 1, 2, 0, 1, 1, 4, 4, 3, 6, 4, 1, 1, 0, 2, 1, 3, 0, 1, 1, 3, 2, 2, 3, 4, 4, 5, 7, 2, 2, 3, 1, 1, 0, 3, 1, 2, 0, 1, 1, 4, 4, 3
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OFFSET
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0,5
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COMMENTS
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Sequence is eventually periodic with period 34. The only exceptions are n = 0, 15, 17 and 32.
Winning Ways, p. 93 erroneously states that for odd n a(n) = A002187(n-1) xor 1. The first exception to this rule is n=49 and many others follow.
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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 Chapter 4, p. 93.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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