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A187855 Number of 7-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions 1
0, 0, 35328, 1533064, 10353632, 33908456, 76860784, 140714528, 225295032, 330074144, 454720992, 599118736, 763244128, 947095136, 1150671760, 1373974000, 1617001856, 1879755328, 2162234416, 2464439120, 2786369440, 3128025376 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row 7 of A187850

LINKS

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

FORMULA

Empirical: a(n) = 9862808*n^2 - 82444808*n + 168212080 for n>11

EXAMPLE

Some solutions for 4X4

..2..0..0..0....0..5..2..0....0..0..6..0....0..0..1..3....0..0..1..2

..1..3..4..0....1..6..7..0....0..2..1..0....0..4..2..6....0..0..0..3

..0..5..6..0....0..3..4..0....4..5..0..7....0..7..0..5....0..6..4..0

..0..0..7..0....0..0..0..0....3..0..0..0....0..0..0..0....0..0..5..7

CROSSREFS

Sequence in context: A254016 A254023 A254890 * A300762 A250978 A282129

Adjacent sequences:  A187852 A187853 A187854 * A187856 A187857 A187858

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 14 2011

STATUS

approved

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Last modified October 27 23:46 EDT 2021. Contains 348305 sequences. (Running on oeis4.)