A282885 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

0, 0, 0, 1, 2, 1, 2, 8, 8, 2, 5, 32, 74, 32, 5, 12, 122, 430, 430, 122, 12, 26, 416, 2426, 3762, 2426, 416, 26, 56, 1414, 13062, 34314, 34314, 13062, 1414, 56, 118, 4626, 67676, 286920, 480995, 286920, 67676, 4626, 118, 244, 14930, 342972, 2342046, 6296324

Offset: 1

Author

R. H. Hardin, Feb 24 2017

Keywords

• nonn
• tabl

Comments

Table starts

...0.....0.......1..........2............5.............12...............26

...0.....2.......8.........32..........122............416.............1414

...1.....8......74........430.........2426..........13062............67676

...2....32.....430.......3762........34314.........286920..........2342046

...5...122....2426......34314.......480995........6296324.........80114311

..12...416...13062.....286920......6296324......128768496.......2561487246

..26..1414...67676....2342046.....80114311.....2561487246......79687436788

..56..4626..342972...18668994....995928444....49811090624....2422749969094

.118.14930.1707597..146171090..12166597450...951678283294...72384911847530

.244.47432.8384136.1129426388.146641882796.17942875499666.2134206947210504

Examples

			Some solutions for n=4 k=4
..0..0..1..0. .0..1..0..1. .0..1..1..1. .1..0..1..1. .0..1..0..0
..1..0..1..1. .0..0..0..0. .0..0..0..0. .1..0..0..0. .0..0..0..1
..0..0..0..0. .0..0..1..0. .1..0..0..0. .0..1..1..1. .0..0..1..0
..1..1..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..264

Crossrefs

Column 1 is A073778(n-1).

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -3*a(n-4) -2*a(n-5) -a(n-6)

k=2: [order 10]

k=3: [order 22]

k=4: [order 42]

k=5: [order 86]