A209592 Number of n X n 0..7 arrays with every element equal to a diagonal or antidiagonal reflection

8, 4096, 3932160, 241591910400, 27831388078080000, 205195258022068224000000, 2836619246897071128576000000000, 2509659166022727122011815936000000000000

Offset

1,1

Comments

Column 7 of A209593

Links

R. H. Hardin, Table of n, a(n) for n = 1..30

Formula

a(n) = 8 ^ (2*n-(n modulo 2)) * 120 ^ ((n*n-2*n+(n modulo 2))/4)

Example

Some solutions for n=3
..0..3..3....0..2..7....0..3..7....0..4..0....0..7..7....0..7..5....0..4..0
..3..2..7....2..5..5....3..5..3....6..7..4....7..1..2....4..6..7....1..0..4
..4..7..0....7..5..0....3..3..0....6..6..0....7..2..0....5..4..0....1..1..0

Crossrefs

Sequence in context: A024113 A167059 A013742 * A060760 A203436 A159368

Adjacent sequences: A209589 A209590 A209591 * A209593 A209594 A209595

Keyword

nonn

Author

R. H. Hardin Mar 10 2012

Status

approved