A263835 Sprague-Grundy sequence G(i-Mark({4,8}, {2})).

0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 3, 0, 2, 1, 1, 1, 1, 2, 0, 2, 3, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0

Offset

0,5

Links

Table of n, a(n) for n=0..70.

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

Formula

For n >= 17:

a(n) = 0 if n mod 12 in {1,3,4,10}

a(n) = 1 if n mod 12 in {5,6,7,8}

a(n) = 2 if n mod 12 in {2,9,11}

a(n) = 2 if n mod 12 = 0 and the largest power of 2 dividing n/12 is an even power

a(n) = 3 if n mod 12 = 0 and the largest power of 2 dividing n/12 is an odd power

Crossrefs

Sequence in context: A061916 A351819 A076348 * A113310 A359537 A081653

Adjacent sequences: A263832 A263833 A263834 * A263836 A263837 A263838

Keyword

nonn

Author

N. J. A. Sloane, Oct 29 2015

Extensions

More terms and formula from Nathan Fox, Dec 22 2015

Status

approved