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A186965 T(n,k)=Number of n-turn queen's tours on a kXk board summed over all starting positions.

%I A186965 #8 Jul 22 2025 10:38:00
%S A186965 1,4,0,9,12,0,16,56,24,0,25,152,296,24,0,36,320,1304,1344,0,0,49,580,
%T A186965 3808,10440,5120,0,0,64,952,8832,43424,77384,15760,0,0,81,1456,17672,
%U A186965 130592,473632,527528,36816,0,0,100,2112,31888,320880,1875432,4927216
%N A186965 T(n,k)=Number of n-turn queen's tours on a kXk board summed over all starting positions.
%C A186965 Table starts
%C A186965 .1..4.....9.......16.......25.......36......49.......64......81...100..121.144
%C A186965 .0.12....56......152......320......580.....952.....1456....2112..2940.3960
%C A186965 .0.24...296.....1304.....3808.....8832...17672....31888...53312.84040
%C A186965 .0.24..1344....10440....43424...130592..320880...686384.1326848
%C A186965 .0..0..5120....77384...473632..1875432.5706000.14543984
%C A186965 .0..0.15760...527528..4927216.26115816
%C A186965 .0..0.36816..3280384.48781648
%C A186965 .0..0.57904.18430848
%C A186965 .0..0.45856
%C A186965 .0..0
%H A186965 R. H. Hardin, <a href="/A186965/b186965.txt">Table of n, a(n) for n = 1..71</a>
%e A186965 Some n=3 solutions for 3X3
%e A186965 ..0..3..1....0..1..0....3..0..0....2..1..0....0..0..0....0..0..0....1..0..0
%e A186965 ..0..0..2....0..2..0....2..0..0....0..0..0....1..2..0....0..1..3....2..3..0
%e A186965 ..0..0..0....0..3..0....1..0..0....3..0..0....0..0..3....0..2..0....0..0..0
%Y A186965 Row 2 is A035005
%K A186965 nonn,tabl
%O A186965 1,2
%A A186965 _R. H. Hardin_ Mar 01 2011