A263635 - OEIS

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

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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 * A373850 A358233 A336121

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