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A186853 Number of 4-step knight's tours on a (n+2)X(n+2) board summed over all starting positions 0
16, 208, 976, 2576, 5056, 8320, 12368, 17200, 22816, 29216, 36400, 44368, 53120, 62656, 72976, 84080, 95968, 108640, 122096, 136336, 151360, 167168, 183760, 201136, 219296, 238240, 257968, 278480, 299776, 321856, 344720, 368368, 392800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A186851

LINKS

Table of n, a(n) for n=1..33.

FORMULA

Empirical: a(n) = 392*n^2 - 1048*n + 496 for n>3

EXAMPLE

Some solutions for 5X5

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

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

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

..0..0..0..0..0....0..0..0..0..0....0..0..0..2..0....0..0..0..0..0

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

CROSSREFS

Sequence in context: A016217 A055758 A046088 * A016159 A297370 A285167

Adjacent sequences:  A186850 A186851 A186852 * A186854 A186855 A186856

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 27 2011

STATUS

approved

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Last modified June 30 02:41 EDT 2022. Contains 354913 sequences. (Running on oeis4.)