A209684 T(n,k) = Number of n X n 0..k arrays with every element equal to a diagonal or antidiagonal reflection, and new values 0 upwards introduced in row major order.

1, 1, 8, 1, 14, 96, 1, 15, 608, 4608, 1, 15, 1243, 246038, 331776, 1, 15, 1508, 2143147, 166075313, 95551488, 1, 15, 1549, 6716352, 6713848491, 1008907523438, 41278242816, 1, 15, 1551, 11315839, 66825091608, 336865786047147

Offset

1,3

Comments

Table starts

......1.........1..........1...........1............1............1............1

......8........14.........15..........15...........15...........15...........15

.....96.......608.......1243........1508.........1549.........1551.........1551

...4608....246038....2143147.....6716352.....11315839.....13575355.....14164693

.331776.166075313.6713848491.66825091608.268997909000.584728215424.847881355388

Links

R. H. Hardin, Table of n, a(n) for n = 1..988

Example

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

Crossrefs

Column 1 is A209586/2.

Sequence in context: A124906 A298143 A181762 * A173988 A349123 A158893

Adjacent sequences: A209681 A209682 A209683 * A209685 A209686 A209687

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 11 2012

Status

approved