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A221755
T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns
12
0, 1, 0, 0, 2, 0, 1, 1, 4, 0, 0, 9, 0, 8, 0, 1, 17, 43, 1, 16, 0, 0, 64, 44, 241, 0, 32, 0, 1, 171, 736, 748, 1397, 1, 64, 0, 0, 536, 1680, 16715, 4848, 7989, 0, 128, 0, 1, 1558, 14548, 117067, 311288, 47575, 45956, 1, 256, 0, 0, 4689, 47314, 1557684, 3143356, 6168942
OFFSET
1,5
COMMENTS
Table starts
.0....1.0.......1........0..........1..........0..........1............0
.0....2.1.......9.......17.........64........171........536.........1558
.0....4.0......43.......44........736.......1680......14548........47314
.0....8.1.....241......748......16715.....117067....1557684.....14265803
.0...16.0....1397.....4848.....311288....3143356...95371405...1408726936
.0...32.1....7989....47575....6168942..128008894.7397024874.230155001514
.0...64.0...45956...381174..122732982.4330440582
.0..128.1..264378..3360074.2429844368
.0..256.0.1520571.28284160
.0..512.1.8746983
.0.1024.0
.0.2048
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..2....1..1..1..1....0..2..0..2....0..2..0..1....0..2..1..1
..2..0..2..0....0..2..0..2....1..1..1..1....1..1..2..1....2..0..0..1
..1..1..1..1....2..0..2..0....2..0..2..0....1..1..2..0....1..2..2..0
CROSSREFS
Column 2 is A000079(n-1)
Sequence in context: A321376 A102210 A124220 * A354666 A110298 A362379
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 24 2013
STATUS
approved