|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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.
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|