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A125927
Sprague-Grundy values for octal game .53.
0
0, 1, 1, 2, 2, 1, 0, 2, 2, 4, 0, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1
OFFSET
0,4
COMMENTS
Octal game .531 also has values a(n).
The sequence is eventually periodic with period 9. The last exception is at n=10.
REFERENCES
E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 104.
Guy, R. K. and Smith, C. A. B.; The G-values of various games. Proc. Cambridge Philos. Soc. 52 (1956), 514-526. See Table 2.
MATHEMATICA
Join[{0, 1, 1, 2, 2, 1, 0, 2, 2, 4, 0}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 2, 2, 1, 1, 2, 2, 4, 1}, 90]] (* Ray Chandler, Aug 26 2015; changed by N. J. A. Sloane, Jul 02 2016 *)
CROSSREFS
Sequence in context: A299485 A246785 A084934 * A285864 A092869 A029337
KEYWORD
nonn
AUTHOR
Richard Sabey, Jan 24 2007
EXTENSIONS
Extended by Ray Chandler, Aug 26 2015
Added initial 0 and changed offset. - N. J. A. Sloane, Jul 02 2016
STATUS
approved