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

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, 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, 2, 0, 1, 0, 1, 0

Offset

0,5

Links

Table of n, a(n) for n=0..73.

Eric Sopena, i-Mark: A new subtraction division game, arXiv:1509.04199 [cs.DM], 2015.

Formula

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

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.

a(n)=2 otherwise.

Crossrefs

Sequence in context: A224937 A035193 A004556 * A358233 A336121 A363795

Adjacent sequences: A263632 A263633 A263634 * A263636 A263637 A263638

Keyword

nonn

Author

N. J. A. Sloane, Oct 29 2015

Extensions

More terms and formula from Nathan Fox, Dec 22 2015

Status

approved