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A187510 Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions 1
0, 0, 40, 184, 435, 788, 1243, 1800, 2459, 3220, 4083, 5048, 6115, 7284, 8555, 9928, 11403, 12980, 14659, 16440, 18323, 20308, 22395, 24584, 26875, 29268, 31763, 34360, 37059, 39860, 42763, 45768, 48875, 52084, 55395, 58808, 62323, 65940, 69659, 73480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row 5 of A187507

LINKS

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

FORMULA

Empirical: a(n) = 51*n^2 - 208*n + 200 for n>3.

Empirical G.f.: x^3*(40+64*x+3*x^2-5*x^3)/(1-x)^3. [Colin Barker, Jan 22 2012]

EXAMPLE

Some solutions for 4X4

..0..0..0..0....0..0..0..0....0..0..0..0....4..0..0..0....0..1..0..0

..0..0..0..0....0..0..0..0....4..5..0..0....5..3..1..0....0..2..0..0

..0..5..3..1....0..0..4..5....2..3..0..0....0..0..2..0....0..3..4..5

..0..0..4..2....0..1..2..3....0..1..0..0....0..0..0..0....0..0..0..0

CROSSREFS

Sequence in context: A251210 A211497 A251203 * A187379 A077818 A247405

Adjacent sequences:  A187507 A187508 A187509 * A187511 A187512 A187513

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 10 2011

STATUS

approved

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Last modified April 25 00:32 EDT 2017. Contains 285346 sequences.