A282441 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly one element.

0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 12, 96, 12, 0, 0, 58, 784, 784, 58, 0, 0, 280, 6498, 10232, 6498, 280, 0, 0, 1276, 50962, 152726, 152726, 50962, 1276, 0, 0, 5592, 378380, 2129756, 3997136, 2129756, 378380, 5592, 0, 0, 24004, 2744000, 28043694, 98841792

Offset

1,8

Comments

Table starts

.0.....0........0..........0.............0...............0.................0

.0.....0........2.........12............58.............280..............1276

.0.....2.......96........784..........6498...........50962............378380

.0....12......784......10232........152726.........2129756..........28043694

.0....58.....6498.....152726.......3997136........98841792........2301995900

.0...280....50962....2129756......98841792......4309285780......177265299282

.0..1276...378380...28043694....2301995900....177265299282....12904221882656

.0..5592..2744000..363894560...52857163712...7188315304848...926611650146754

.0.24004.19498404.4627276420.1190131334489.285685036982550.65222398663792276

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 12]

k=3: [order 18]

k=4: [order 34]

k=5: [order 88]

Example

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

Crossrefs

Sequence in context: A283494 A353254 A281034 * A281988 A190389 A285485

Adjacent sequences: A282438 A282439 A282440 * A282442 A282443 A282444

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2017

Status

approved