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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.
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 12 2017
STATUS
approved