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A125924 Sprague-Grundy values for octal game .34. 0

%I #5 Aug 25 2015 12:44:01

%S 1,0,1,2,0,1,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,

%T 1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,

%U 0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3,0,3,1,2,1,2,0,3

%N Sprague-Grundy values for octal game .34.

%C Octal game .341 also has values a(n).

%C The sequence is eventually periodic with period 8. The last exception is at n=6.

%C This game is called Flanigan's game in Winning Ways.

%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 104.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, -1, 0, 1).

%t Join[{1, 0, 1, 2, 0, 1},LinearRecurrence[{0, 1, 0, -1, 0, 1},{0, 3, 1, 2, 1, 2},96]] (* _Ray Chandler_, Aug 25 2015 *)

%K nonn

%O 1,4

%A _Richard Sabey_, Jan 24 2007

%E Extended by _Ray Chandler_, Aug 25 2015

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