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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
Row 10 of A187377.
LINKS
FORMULA
Empirical: a(n) = 8911*n^2 - 82691*n + 181756 for n>8.
Conjectures from Colin Barker, Apr 24 2018: (Start)
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
Cf. A187377.
Sequence in context: A234452 A297510 A327948 * A297724 A024214 A357248
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 09 2011
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)