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A308201
Sprague-Grundy values for Maharaja Nim on an infinite single-quadrant board scanned by upwards antidiagonals.
6
0, 1, 2, 3, 4, 5, 2, 6, 7, 1, 4, 0, 8, 3, 6, 5, 1, 9, 10, 0, 4, 6, 3, 11, 5, 2, 8, 7, 7, 8, 10, 12, 1, 9, 5, 3, 9, 11, 0, 2, 3, 6, 12, 10, 8, 8, 5, 1, 4, 7, 0, 11, 13, 2, 9, 10, 12, 2, 6, 5, 13, 8, 4, 0, 11, 14, 11, 7, 3, 13, 8, 10, 9, 2, 14, 1, 6, 12, 12, 9
OFFSET
0,3
COMMENTS
A Maharaja combines the moves of a queen and a knight.
If we add 1 to every term we get A274630.
LINKS
Urban Larsson and Johan Wästlund, Maharaja Nim: Wythoff’s Queen meets the Knight, arXiv 1207.0765 [math.CO], 2012.
Urban Larsson and Johan Wästlund, Maharaja Nim: Wythoff’s Queen meets the Knight, Integers: Electronic Journal of Combinatorial Number Theory 14 (2014), #G05.
Rémy Sigrist, Colored representation of the first 1000 antidiagonals (where the hue is function of T(x,y) and black pixels correspond to 0's)
EXAMPLE
The Sprague-Grundy values are as follows (this shows the first 7 antidiagonals):
0, 2, 5, 1, 6, 4, 7, ...
1, 4, 7, 3, 0, 8, ...
3, 6, 8, 10, 2, ...
2, 0, 9, 5, ...
4, 1, 11, ...
5, 3, ...
6, ...
...
PROG
(PARI) See Links section.
CROSSREFS
Cf. A307282.
For the positions of the 0's, see A307281.
The top row of the array is A308882 (or A274632 - 1).
The leading column is A274631 - 1, the main diagonal is A274633 - 1.
A274630 is essentially the same sequence (but with 1 added to every term).
Sequence in context: A194459 A143120 A353277 * A026362 A223490 A354749
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Jun 30 2019
EXTENSIONS
More terms from Rémy Sigrist, Jun 30 2019
STATUS
approved