A209593 T(n,k)=Number of n X n 0..k arrays with every element equal to a diagonal or antidiagonal reflection

2, 3, 16, 4, 81, 192, 5, 256, 3645, 9216, 6, 625, 28672, 1476225, 663552, 7, 1296, 140625, 51380224, 996451875, 191102976, 8, 2401, 513216, 791015625, 161128382464, 6053445140625, 82556485632, 9, 4096, 1529437, 7316407296

Offset

1,1

Comments

Table starts

......2.........3............4.............5...............6................7

.....16........81..........256...........625............1296.............2401

....192......3645........28672........140625..........513216..........1529437

...9216...1476225.....51380224.....791015625......7316407296......47738317081

.663552.996451875.161128382464.8009033203125.191221621088256.2767247026234327

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

T(n,k) = (k+1) ^ (2n-(n modulo 2)) * ((k+1)*(2k+1)) ^ ((n*n-2n+(n modulo 2))/4)

Example

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

Crossrefs

Row 2 is A000583(n+1)

Sequence in context: A097655 A080749 A070973 * A054496 A351748 A190116

Adjacent sequences: A209590 A209591 A209592 * A209594 A209595 A209596

Keyword

nonn,tabl

Author

R. H. Hardin Mar 10 2012

Status

approved