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A186854 Number of 5-step knight's tours on a (n+2)X(n+2) board summed over all starting positions 0
16, 400, 2800, 9328, 21480, 39616, 63440, 92656, 127264, 167264, 212656, 263440, 319616, 381184, 448144, 520496, 598240, 681376, 769904, 863824, 963136, 1067840, 1177936, 1293424 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A186851

LINKS

Table of n, a(n) for n=1..24.

FORMULA

Empirical: a(n) = 2696*n^2 - 11224*n + 9904 for n>5

EXAMPLE

Some solutions for 5X5

..0..0..0..0..1....0..2..0..0..0....0..5..0..0..0....0..1..0..0..0

..0..3..0..0..0....0..0..0..3..0....0..0..0..2..0....3..0..0..0..0

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

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

..0..0..0..0..5....0..0..0..0..5....0..0..0..0..0....0..0..0..0..0

CROSSREFS

Sequence in context: A189849 A051360 A071133 * A035021 A202733 A172205

Adjacent sequences:  A186851 A186852 A186853 * A186855 A186856 A186857

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 27 2011

STATUS

approved

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Last modified May 20 00:30 EDT 2013. Contains 225443 sequences.