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A221245 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor 9
0, 1, 0, 2, 9, 0, 4, 50, 64, 0, 8, 484, 1056, 441, 0, 16, 3864, 45369, 21660, 3025, 0, 32, 32400, 1337130, 4096576, 441720, 20736, 0, 64, 267264, 44315649, 438377904, 367565584, 8997120, 142129, 0, 128, 2214144, 1404725868, 56606878084 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

.0........1...........2...............4.................8................16

.0........9..........50.............484..............3864.............32400

.0.......64........1056...........45369...........1337130..........44315649

.0......441.......21660.........4096576.........438377904.......56606878084

.0.....3025......441720.......367565584......142283547000....71306050492681

.0....20736.....8997120.....32940435025....46087307409528.89545789526100625

.0...142129...183206016...2951293792489.14921719105582926

.0...974169..3730330800.264404315544196

.0..6677056.75953515968

.0.45765225

Even columns are perfect squares

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

EXAMPLE

Some solutions for n=3 k=4

..1..0..1..0....0..0..3..1....0..2..0..0....1..2..0..1....0..1..1..0

..1..1..1..2....0..4..2..0....0..1..4..2....0..0..5..2....0..4..1..0

..1..2..1..1....1..1..0..0....0..0..2..1....0..1..0..0....2..0..2..1

CROSSREFS

Column 2 is A049684

Sequence in context: A185362 A140239 A221200 * A340009 A021348 A346833

Adjacent sequences:  A221242 A221243 A221244 * A221246 A221247 A221248

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 06 2013

STATUS

approved

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)