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A263635 Sprague-Grundy sequence G(i-Mark({1}, {2})). 1

%I #15 Dec 26 2015 02:02:19

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

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

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

%N Sprague-Grundy sequence G(i-Mark({1}, {2})).

%H Eric Sopena, <a href="http://arxiv.org/abs/1509.04199">i-Mark: A new subtraction division game</a>, arXiv:1509.04199 [cs.DM], 2015.

%F a(n)=0 iff n=0, n=2, or n>=5 is odd.

%F a(n)=1 iff n=3*2^k for even k>0 or n=(2*j+1)*2^k for integers j>1 and odd k.

%F a(n)=2 otherwise.

%K nonn

%O 0,5

%A _N. J. A. Sloane_, Oct 29 2015

%E More terms and formula from _Nathan Fox_, Dec 22 2015

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