A263834 Sprague-Grundy sequence G(i-Mark({2,4}, {2})).

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

For n>=11:

a(n) = 0 if n = 1 (mod 6)

a(n) = 1 if n = 2 (mod 6)

a(n) = 1 if n = 3 (mod 6)

a(n) = 0 if n = 4 (mod 6)

a(n) = 2 if n = 5 (mod 6)

a(n) = 2 if n = 0 (mod 6) and (n/6 is odd or n/6=2^k for even k or (n/6 is not a power of 2 and the largest power of 2 dividing n/6 is an odd power))

a(n) = 3 otherwise

Crossrefs

Sequence in context: A293209 A318753 A318757 * A263754 A328800 A328802

Adjacent sequences: A263831 A263832 A263833 * A263835 A263836 A263837

Keyword

nonn

Author

N. J. A. Sloane, Oct 29 2015

Extensions

More terms and formula from Nathan Fox, Dec 22 2015

Status

approved