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

1, 4, 0, 9, 12, 0, 16, 56, 24, 0, 25, 152, 296, 24, 0, 36, 320, 1304, 1344, 0, 0, 49, 580, 3808, 10440, 5120, 0, 0, 64, 952, 8832, 43424, 77384, 15760, 0, 0, 81, 1456, 17672, 130592, 473632, 527528, 36816, 0, 0, 100, 2112, 31888, 320880, 1875432, 4927216

Offset

1,2

Comments

Table starts

.1..4.....9.......16.......25.......36......49.......64......81...100..121.144

.0.12....56......152......320......580.....952.....1456....2112..2940.3960

.0.24...296.....1304.....3808.....8832...17672....31888...53312.84040

.0.24..1344....10440....43424...130592..320880...686384.1326848

.0..0..5120....77384...473632..1875432.5706000.14543984

.0..0.15760...527528..4927216.26115816

.0..0.36816..3280384.48781648

.0..0.57904.18430848

.0..0.45856

.0..0

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some n=3 solutions for 3X3
..0..3..1....0..1..0....3..0..0....2..1..0....0..0..0....0..0..0....1..0..0
..0..0..2....0..2..0....2..0..0....0..0..0....1..2..0....0..1..3....2..3..0
..0..0..0....0..3..0....1..0..0....3..0..0....0..0..3....0..2..0....0..0..0

Crossrefs

Row 2 is A035005

Sequence in context: A186861 A187027 A187850 * A330386 A098487 A174381

Adjacent sequences: A186962 A186963 A186964 * A186966 A186967 A186968

Keyword

nonn,tabl

Author

R. H. Hardin Mar 01 2011

Status

approved