A265619 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 diagonal neighbors by a power of two.

1, 1, 1, 1, 0, 3, 2, 64, 45, 16, 16, 908, 5625, 1098, 125, 79, 29296, 392320, 545952, 86800, 1296, 456, 538517, 13534874, 36820624, 147336019, 3882992, 16807, 2194, 10912865, 3413887598, 41288839953, 283374980138, 54825790582, 199692576

Offset

1,6

Comments

Table starts

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

.......1.............0...............64................908...............29296

.......3............45.............5625.............392320............13534874

......16..........1098...........545952...........36820624.........41288839953

.....125.........86800........147336019.......283374980138....1819521260530360

....1296.......3882992......54825790582....281538588667512.2227848096385852333

...16807.....199692576...25237215601657.353827263949405920

..262144...10078711072.5398176185968548

.4782969.1696870266800

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=4
..0..8.10..2....0..8..9.10....0..4..2..4....0..2..4..5....0..4..0..1
..9..8..7..8....6..8..9..7....3..1..3..1....0..2.10..6....0..2..3..1
..0..8..9.11....5..7..9.11....2..1..3.11....3..1..3.11....6..2..3.11

Crossrefs

Column 1 is A000272.

Row 1 is A265173.

Sequence in context: A190286 A063513 A265635 * A298021 A016461 A069576

Adjacent sequences: A265616 A265617 A265618 * A265620 A265621 A265622

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2015

Status

approved