A265635 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, diagonal and antidiagonal neighbors by a power of two.

1, 1, 1, 1, 0, 3, 2, 64, 21, 16, 16, 559, 2660, 585, 125, 79, 10444, 85492, 35328, 8463, 1296, 456, 154825, 2331618, 2723409, 5852058, 294394, 16807, 2194, 2325672, 206993090, 1299561587, 3979565339, 962138367, 6639203, 262144, 20801, 32134921

Offset

1,6

Comments

Table starts

.....1.......1............1...............2...............16..............79

.....1.......0...........64.............559............10444..........154825

.....3......21.........2660...........85492..........2331618.......206993090

....16.....585........35328.........2723409.......1299561587....361488020990

...125....8463......5852058......3979565339...25336433674079.379828279842232

..1296..294394....962138367....796308532514.2181889044925821

.16807.6639203.498846580538.168471146612539

Links

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

Example

Some solutions for n=3 k=4
..0..4..6..4....0..2..3.11....0..1..3..5....0..2.10..2....0..4..3..5
..3..4..3..7....0..4..3..2....9..1..3.11....1..2.10..6....3..4..3..5
..6..7..3.11....0..2..3.11....3..7..9.11....6..2.10.11....3..7..3.11

Crossrefs

Column 1 is A000272.

Row 1 is A265173.

Sequence in context: A336520 A190286 A063513 * A265619 A298021 A016461

Adjacent sequences: A265632 A265633 A265634 * A265636 A265637 A265638

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2015

Status

approved