A209585 Number of n X n 0..n arrays with every element equal to a diagonal or antidiagonal reflection

2, 81, 28672, 791015625, 191221621088256, 7860041410116536427241, 2836619246897071128576000000000, 304913968803300753908857213381006097576481

Offset

1,1

Comments

Diagonal of A209593

Links

R. H. Hardin, Table of n, a(n) for n = 1..10

Formula

a(n) = (n+1) ^ (2n-(n modulo 2)) * ((n+1)*(2n+1)) ^ ((n*n-2n+(n modulo 2))/4)

Example

Some solutions for n=3
..0..0..1....3..0..2....2..0..1....0..3..0....2..0..0....3..3..3....0..2..2
..0..1..1....1..0..0....0..1..3....2..3..3....2..3..0....2..1..3....2..1..2
..3..1..2....0..1..1....1..3..3....3..2..2....2..2..3....0..2..0....0..2..3

Crossrefs

Sequence in context: A318587 A302722 A123177 * A090603 A020955 A230398

Adjacent sequences: A209582 A209583 A209584 * A209586 A209587 A209588

Keyword

nonn

Author

R. H. Hardin Mar 10 2012

Status

approved