OFFSET
1,1
COMMENTS
Column 4 of A253424.
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = a(n-1) +4*a(n-2) -4*a(n-3) -6*a(n-4) +6*a(n-5) +4*a(n-6) -4*a(n-7) -a(n-8) +a(n-9) for n>21.
Empirical for n mod 2 = 0: a(n) = (343040/3)*n^4 - 2458368*n^3 + (75723376/3)*n^2 - 139263620*n + 321085542 for n>12.
Empirical for n mod 2 = 1: a(n) = (343040/3)*n^4 - (6002944/3)*n^3 + (52054384/3)*n^2 - (253169804/3)*n + 171953062 for n>12.
EXAMPLE
Some solutions for n=2
..0..2..1..2..2..2....0..3..1..2..1..2....0..3..2..3..1..3....0..2..2..2..2..2
..2..3..1..2..2..3....2..3..1..2..2..3....2..3..1..2..2..3....3..3..1..2..2..3
..2..1..3..2..2..2....2..1..3..2..2..2....2..1..3..2..2..2....2..1..3..3..1..2
..4..2..2..2..2..3....4..1..3..2..2..3....4..1..2..1..2..3....4..2..2..1..2..3
Knight distance matrix for n=2
..0..3..2..3..2..3
..3..4..1..2..3..4
..2..1..4..3..2..3
..5..2..3..2..3..4
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 31 2014
STATUS
approved