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A186853 Number of 4-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. 2
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
LINKS
FORMULA
Empirical: a(n) = 392*n^2 - 1048*n + 496 for n > 3.
The above empirical formula is correct. See A186851 for details. - Andrew Howroyd, Jan 07 2023
EXAMPLE
Some solutions for 5 X 5:
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
PROG
(PARI) row(4, 30) \\ row(m, n) defined in A186851. - Andrew Howroyd, Jan 07 2023
CROSSREFS
Row 4 of A186851.
Sequence in context: A016217 A055758 A046088 * A016159 A297370 A285167
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 27 2011
STATUS
approved

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Last modified July 17 12:04 EDT 2024. Contains 374377 sequences. (Running on oeis4.)