A282338 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors, with the exception of exactly one element.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 648, 648, 0, 0, 0, 0, 5794, 10680, 5794, 0, 0, 0, 0, 50800, 182876, 182876, 50800, 0, 0, 0, 0, 425030, 3025368, 5850650, 3025368, 425030, 0, 0, 0, 0, 3471260, 47432264, 182122160, 182122160, 47432264, 3471260, 0

Offset

1,13

Comments

Table starts

.0.0........0...........0.............0................0..................0

.0.0........0...........0.............0................0..................0

.0.0.......68.........648..........5794............50800.............425030

.0.0......648.......10680........182876..........3025368...........47432264

.0.0.....5794......182876.......5850650........182122160.........5361683933

.0.0....50800.....3025368.....182122160......10612378412.......584739260830

.0.0...425030....47432264....5361683933.....584739260830.....60339274001772

.0.0..3471260...729388572..154725005658...31572290506580...6102190337530204

.0.0.27860736.11019803902.4387999601749.1674538977289754.606112878947605223

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

k=3: [order 20]

k=4: [order 36]

Example

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

Crossrefs

Sequence in context: A191941 A087536 A281888 * A198210 A329061 A033388

Adjacent sequences: A282335 A282336 A282337 * A282339 A282340 A282341

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 12 2017

Status

approved