

A221314


T(n,k)=Square root of number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two


2



0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 4, 0, 4, 0, 0, 0, 9, 9, 0, 0, 0, 8, 0, 23, 0, 8, 0, 1, 0, 0, 57, 57, 0, 0, 1, 0, 16, 0, 142, 0, 142, 0, 16, 0, 0, 0, 105, 353, 0, 0, 353, 105, 0, 0, 0, 32, 0, 878, 0, 2816, 0, 878, 0, 32, 0, 1, 0, 0, 2183, 6898, 0, 0, 6898, 2183, 0, 0, 1, 0, 64, 0, 5428, 0
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OFFSET

1,5


COMMENTS

Table starts
.0..0...0....1....0.....0...0.....1....0....0.....0....1.0.0
.0..2...0....4....0.....8...0....16....0...32.....0...64.0
.0..0...0....9....0.....0...0...105....0....0.....0.1233
.1..4...9...23...57...142.353...878.2183.5428.13496
.0..0...0...57....0.....0...0..6898....0....0
.0..8...0..142....0..2816...0.55033....0
.0..0...0..353....0.....0...0
.1.16.105..878.6898.55033
.0..0...0.2183....0
.0.32...0.5428
.0..0...0
.1.64


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97


EXAMPLE

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


CROSSREFS

Sequence in context: A080843 A287112 A296238 * A326642 A087371 A307597
Adjacent sequences: A221311 A221312 A221313 * A221315 A221316 A221317


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 10 2013


STATUS

approved



