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A186852 Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. 2
16, 104, 328, 664, 1112, 1672, 2344, 3128, 4024, 5032, 6152, 7384, 8728, 10184, 11752, 13432, 15224, 17128, 19144, 21272, 23512, 25864, 28328, 30904, 33592, 36392, 39304, 42328, 45464, 48712, 52072, 55544, 59128, 62824, 66632, 70552, 74584, 78728, 82984, 87352 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 56*n^2 - 56*n - 8 for n > 1.
The above empirical formula is correct. See A186851 for details. - Andrew Howroyd, Jan 07 2023
EXAMPLE
Some solutions for 5 X 5:
0 0 0 0 0 3 0 0 0 0 0 0 0 3 0 0 0 3 0 0
0 1 0 0 0 0 0 2 0 0 0 2 0 0 0 0 1 0 0 0
0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
PROG
(PARI) row(3, 40) \\ row(m, n) defined in A186851. - Andrew Howroyd, Jan 07 2023
CROSSREFS
Row 3 of A186851.
Sequence in context: A304505 A210687 A000739 * A010079 A022708 A328816
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 27 2011
EXTENSIONS
Terms a(27) and beyond from Andrew Howroyd, Jan 07 2023
STATUS
approved

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Last modified June 16 16:46 EDT 2024. Contains 373432 sequences. (Running on oeis4.)