A305383 - OEIS

%I #25 Jul 14 2018 10:51:24

%S 0,1,1,2,2,2,3,0,0,3,4,3,1,3,4,5,4,3,3,4,5,6,5,4,4,4,5,6,7,6,5,2,2,5,

%T 6,7,8,7,6,0,3,0,6,7,8,9,8,7,1,5,5,1,7,8,9,10,9,8,7,1,6,1,7,8,9,10,11,

%U 10,9,8,0,4,4,0,8,9,10,11,12,11,10,5,8

%N Square array read by antidiagonals: T(i,j) = Sprague-Grundy function for position (i,j) in the "R" variant of Wythoff's game.

%H Robert Price, <a href="/A305383/b305383.txt">Table of n, a(n) for n = 0..45450</a>

%H Nhan Bao Ho, <a href="https://doi.org/10.1016/j.jcta.2012.03.010">Two variants of Wythoff's game preserving its P-positions</a>, Journal of Combinatorial Theory, Series A, Volume 119, Issue 6, August 2012, pp. 1302-1314.

%e The first few antidiagonals are:

%e 0,

%e 1,1,

%e 2,2,2,

%e 3,0,0,3,

%e 4,3,1,3,4,

%e 5,4,3,3,4,5,

%e 6,5,4,4,4,5,6,

%e 7,6,5,2,2,5,6,7,

%e 8,7,6,0,3,0,6,7,8,

%e ...

%e The square array begins:

%e ...

%e 9....9 9 9 5 9 1 9 5 9 10

%e 8....8 8 8 8 8 2 8 6 7 9

%e 7....7 7 7 7 0 7 7 8 6 5

%e 6....6 6 6 1 1 4 5 7 8 9

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

%e 4....4 4 4 2 3 5 1 0 8 9

%e 3....3 3 3 4 2 0 1 7 8 5

%e 2....2 0 1 3 4 5 6 7 8 9

%e 1....1 2 0 3 4 5 6 7 8 9

%e 0....0 1 2 3 4 5 6 7 8 9

%e a/b. 0 1 2 3 4 5 6 7 8 9

%Y Cf. A305384.

%K nonn,tabl

%O 0,4

%A _N. J. A. Sloane_, Jun 21 2018

%E More terms from _Robert Price_, Jul 12 2018