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A187027 T(n,k) is the number of n-step one or two collinear space at a time queen's tours on a k X k board summed over all starting positions.

%I A187027 #11 Nov 29 2024 16:53:45
%S A187027 1,4,0,9,12,0,16,56,24,0,25,132,296,24,0,36,240,1008,1344,0,0,49,380,
%T A187027 2232,7056,5120,0,0,64,552,3936,19568,45152,15760,0,0,81,756,6120,
%U A187027 39348,161256,263000,36816,0,0,100,992,8784,66360,376248,1251720,1384152,57904,0,0
%N A187027 T(n,k) is the number of n-step one or two collinear space at a time queen's tours on a k X k board summed over all starting positions.
%H A187027 R. H. Hardin, <a href="/A187027/b187027.txt">Table of n, a(n) for n = 1..98</a>
%e A187027 Table starts:
%e A187027 .1..4.....9.......16........25........36.......49........64.......81.....100
%e A187027 .0.12....56......132.......240.......380......552.......756......992....1260
%e A187027 .0.24...296.....1008......2232......3936.....6120......8784....11928...15552
%e A187027 .0.24..1344.....7056.....19568.....39348....66360....100380...141408..189444
%e A187027 .0..0..5120....45152....161256....376248...696992...1121176..1647008.2273384
%e A187027 .0..0.15760...263000...1251720...3443028..7080688..12213336.18821144
%e A187027 .0..0.36816..1384152...9151912..30203792.69641344.129718288
%e A187027 .0..0.57904..6516592..62903536.254189928
%e A187027 .0..0.45856.27116200.405255984
%e A187027 .0..0.....0.98268864
%e A187027 Some n=4 solutions for 4 X 4:
%e A187027 ..0..0..0..0....0..0..0..0....0..0..0..0....0..4..0..0....0..0..1..0
%e A187027 ..0..0..0..0....0..2..0..0....4..0..1..0....0..0..3..0....0..0..2..0
%e A187027 ..3..0..4..0....0..4..0..0....0..0..2..0....1..0..0..0....0..0..3..0
%e A187027 ..0..2..0..1....0..3..0..1....0..0..3..0....2..0..0..0....0..4..0..0
%Y A187027 Row 2 is A104188(n-1).
%K A187027 nonn,tabl
%O A187027 1,2
%A A187027 _R. H. Hardin_, Mar 02 2011