|
|
A187384
|
|
Number of 10-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.
|
|
1
|
|
|
0, 0, 0, 280, 3792, 17052, 44464, 92628, 159328, 245946, 350386, 472648, 612732, 770638, 946366, 1139916, 1351288, 1580482, 1827498, 2092336, 2374996, 2675478, 2993782, 3329908, 3683856, 4055626, 4445218, 4852632, 5277868, 5720926, 6181806
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 8911*n^2 - 82691*n + 181756 for n>8.
G.f.: 2*x^4*(140 + 1476*x + 3258*x^2 + 2202*x^3 + 3300*x^4 - 1108*x^5 + 691*x^6 - 1048*x^7) / (1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>11.
(End)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|