

A221337


T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some kingmove neighbor, with every occupancy equal to zero or two


2



0, 2, 2, 0, 6, 0, 4, 20, 20, 4, 0, 68, 0, 68, 0, 8, 232, 790, 790, 232, 8, 0, 792, 0, 10704, 0, 792, 0, 16, 2704, 34042, 142792, 142792, 34042, 2704, 16, 0, 9232, 0, 1937900, 0, 1937900, 0, 9232, 0, 32, 31520, 1470618, 26264018
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OFFSET

1,2


COMMENTS

Table starts
..0....2.....0.......4......0.......8........0......16.....0.32
..2....6....20......68....232.....792.....2704....9232.31520
..0...20.....0.....790......0...34042........0.1470618
..4...68...790...10704.142792.1937900.26264018
..0..232.....0..142792......0
..8..792.34042.1937900
..0.2704.....0
.16.9232
..0


LINKS

Table of n, a(n) for n=1..49.


EXAMPLE

Some solutions for n=3 k=4
..0..2..2..2....2..0..0..0....2..0..2..0....0..0..2..0....0..2..2..0
..2..0..0..0....2..2..2..0....0..0..2..0....2..2..0..0....2..2..0..0
..0..2..0..2....0..2..0..2....2..0..2..2....2..0..2..2....0..0..2..2


CROSSREFS

Column 1 is A077957
Column 2 is A006012
Sequence in context: A295214 A221408 A221396 * A157077 A185896 A076256
Adjacent sequences: A221334 A221335 A221336 * A221338 A221339 A221340


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 11 2013


STATUS

approved



