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A187379 Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions 1
0, 0, 40, 188, 487, 924, 1499, 2212, 3063, 4052, 5179, 6444, 7847, 9388, 11067, 12884, 14839, 16932, 19163, 21532, 24039, 26684, 29467, 32388, 35447, 38644, 41979, 45452, 49063, 52812, 56699, 60724, 64887, 69188, 73627, 78204, 82919, 87772, 92763, 97892 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Row 5 of A187377
LINKS
FORMULA
Empirical: a(n) = 69*n^2 - 322*n + 372 for n>3.
Empirical G.f.: x^3*(40+68*x+43*x^2-13*x^3)/(1-x)^3. [Colin Barker, Jan 22 2012]
EXAMPLE
Some solutions for 4X4
..0..0..0..0....0..0..0..5....0..4..0..0....0..0..1..0....0..0..0..5
..0..0..5..0....0..0..4..0....3..5..0..0....0..0..2..4....0..2..4..0
..0..4..2..0....1..3..0..0....0..2..0..0....0..0..3..5....0..3..1..0
..0..1..3..0....2..0..0..0....0..0..1..0....0..0..0..0....0..0..0..0
CROSSREFS
Sequence in context: A211497 A251203 A187510 * A077818 A247405 A235270
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 09 2011
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)