|
|
A187194
|
|
Number of 7-turn rook's tours on an n X n board summed over all starting positions.
|
|
0
|
|
|
0, 0, 2304, 156672, 2169600, 15220800, 72182880, 264520704, 806827392, 2144534400, 5120913600, 11222069760
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
|
|
FORMULA
|
Empirical G.f.: -96*x^3*(287*x^5+4491*x^4+11886*x^3+8776*x^2+1416*x+24)/(x-1)^9. [Colin Barker, Jul 01 2012]
|
|
EXAMPLE
|
Some solutions for 3X3
..2..1..0....1..2..0....0..2..1....0..0..4....5..4..0....4..3..5....4..1..5
..3..6..7....6..0..7....5..3..4....1..2..3....6..0..7....7..1..6....0..7..6
..4..5..0....5..3..4....6..0..7....7..6..5....2..3..1....0..2..0....3..2..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|