A308201 - OEIS

%I #28 Jun 30 2019 17:17:26

%S 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,

%T 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,

%U 4,0,11,14,11,7,3,13,8,10,9,2,14,1,6,12,12,9

%N Sprague-Grundy values for Maharaja Nim on an infinite single-quadrant board scanned by upwards antidiagonals.

%C A Maharaja combines the moves of a queen and a knight.

%C If we add 1 to every term we get A274630.

%H Rémy Sigrist, <a href="/A308201/b308201.txt">Table of n, a(n) for n = 0..10010</a>

%H Urban Larsson and Johan Wästlund, <a href="https://arxiv.org/abs/1207.0765">Maharaja Nim: Wythoff’s Queen meets the Knight</a>, arXiv 1207.0765 [math.CO], 2012.

%H Urban Larsson and Johan Wästlund, <a href="https://www.emis.de/journals/INTEGERS/papers/og5/og5.Abstract.html">Maharaja Nim: Wythoff’s Queen meets the Knight</a>, Integers: Electronic Journal of Combinatorial Number Theory 14 (2014), #G05.

%H Rémy Sigrist, <a href="/A308201/a308201.png">Colored representation of the first 1000 antidiagonals</a> (where the hue is function of T(x,y) and black pixels correspond to 0's)

%H Rémy Sigrist, <a href="/A308201/a308201.gp.txt">PARI program for A308201</a>

%e The Sprague-Grundy values are as follows (this shows the first 7 antidiagonals):

%e   0,  2,  5,  1,  6,  4,  7, ...

%e   1,  4,  7,  3,  0,  8, ...

%e   3,  6,  8, 10,  2, ...

%e   2,  0,  9,  5, ...

%e   4,  1, 11, ...

%e   5,  3, ...

%e   6, ...

%e   ...

%o (PARI) See Links section.

%Y Cf. A307282.

%Y For the positions of the 0's, see A307281.

%Y The top row of the array is A308882 (or A274632 - 1).

%Y The leading column is A274631 - 1, the main diagonal is A274633 - 1.

%Y A274630 is essentially the same sequence (but with 1 added to every term).

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, Jun 30 2019

%E More terms from _Rémy Sigrist_, Jun 30 2019