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A071453 Sprague-Grundy values for octal game .117. 0

%I #9 Aug 27 2015 12:46:49

%S 1,1,1,0,2,2,1,3,4,0,1,1,1,3,2,2,2,3,4,0,1,5,4,3,2,2,2,3,1,0,1,0,4,3,

%T 2,2,2,0,1,0,1,0,4,3,2,5,4,0,1,0,1,0,2,3,2,3,4,0,1,0,1,3,2,3,2,3,4,0,

%U 1,0,4,3,2,3,2,3,1,0,1,0,4,3,2,3,2,0,1,0,1,0,4,3,2,3,4,0,1,0,1,0,2,3,2,3,4

%N Sprague-Grundy values for octal game .117.

%C Octal games .051 and .053 have values a(n-1).

%C Sequence is eventually periodic with period 48. The only exceptions are n=2, 6, 7, 12, 16, 22, 26, 36 and 46.

%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 Achim Flammenkamp, <a href="http://www.uni-bielefeld.de/~achim/octal_sparse.html">Octal games</a>

%H <a href="/index/Rec#order_48">Index entries for linear recurrences with constant coefficients</a>, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%K nonn

%O 1,5

%A _N. J. A. Sloane_ and _Sue Pope_, May 29 2002

%E Edited and extended by _Christian G. Bower_, Nov 11 2002

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