A231710 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one

5, 17, 17, 42, 87, 42, 121, 387, 387, 121, 351, 1903, 2840, 1903, 351, 978, 9352, 23584, 23584, 9352, 978, 2768, 45126, 197605, 332529, 197605, 45126, 2768, 7851, 218976, 1601683, 4734057, 4734057, 1601683, 218976, 7851, 22168, 1063266, 13087828

Offset

1,1

Comments

Table starts

.....5.......17.........42...........121.............351................978

....17.......87........387..........1903............9352..............45126

....42......387.......2840.........23584..........197605............1601683

...121.....1903......23584........332529.........4734057...........65213128

...351.....9352.....197605.......4734057.......115091431.........2710953352

...978....45126....1601683......65213128......2710953352.......108702736653

..2768...218976...13087828.....907753996.....64449267435......4397103321129

..7851..1063266..107398293...12682706594...1537649843980....178637016494076

.22168..5157832..878894477..176596945800..36565903346612...7231676877762957

.62688.25029089.7193285719.2460065350035.869868073036783.292858412207690044

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: [order 9]

k=2: [order 25]

k=3: [order 77]

Example

Some solutions for n=3 k=4
..1..1..1..0..1....0..0..1..1..0....1..0..1..0..0....1..0..0..0..1
..0..0..0..0..0....0..0..1..0..0....0..0..1..0..0....1..0..1..0..0
..0..0..0..1..0....1..0..0..0..1....1..0..1..0..0....0..0..0..0..0
..0..1..1..0..0....1..0..1..0..0....0..0..0..1..0....1..1..1..0..0

Crossrefs

Sequence in context: A141558 A304217 A305248 * A316548 A275629 A351974

Adjacent sequences: A231707 A231708 A231709 * A231711 A231712 A231713

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 12 2013

Status

approved