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%I #11 Jul 02 2016 14:53:15
%S 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,
%T 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,
%U 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
%N Sprague-Grundy values for octal game .53.
%C Octal game .531 also has values a(n).
%C The sequence is eventually periodic with period 9. The last exception is at n=10.
%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 104.
%D 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.
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).
%t 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 *)
%K nonn
%O 0,4
%A _Richard Sabey_, Jan 24 2007
%E Extended by _Ray Chandler_, Aug 26 2015
%E Added initial 0 and changed offset. - _N. J. A. Sloane_, Jul 02 2016