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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

R. H. Hardin, Table of n, a(n) for n = 1..50

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

Adjacent sequences:  A187376 A187377 A187378 * A187380 A187381 A187382

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 09 2011

STATUS

approved

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)