A265590 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and antidiagonal neighbors by a power of two.

1, 1, 1, 1, 2, 3, 2, 84, 79, 16, 16, 1354, 9327, 2194, 125, 79, 38791, 927797, 1427680, 142675, 1296, 456, 905458, 82725668, 505822314, 308395359, 7604426, 16807, 2194, 22977880, 12404184853, 376251416588, 807767184602, 99770416100, 451816635

Offset

1,5

Comments

Table starts

......1...........1.................1...................2..................16

......1...........2................84................1354...............38791

......3..........79..............9327..............927797............82725668

.....16........2194...........1427680...........505822314........376251416588

....125......142675.........308395359........807767184602....2435259956770588

...1296.....7604426.......99770416100.....938564405271330.8708917835881798394

..16807...451816635....38840832559548.1227457797882040471

.262144.25239520503.10692035281792418

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for n=3 k=4
..0..1..2..1....0..1..3..1....0..1..9.11....0..1..3..7....0..1..3..1
..3..4..5..1....3..4..3..1....3..1..3..7....3..2..3..7....9..5..3..1
..5..4..3.11....5..7..9.11....3..5..3.11...10..2..3.11....3..7..3.11

Crossrefs

Column 1 is A000272.

Row 1 is A265173.

Sequence in context: A075121 A075108 A364139 * A260208 A242457 A340261

Adjacent sequences: A265587 A265588 A265589 * A265591 A265592 A265593

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2015

Status

approved