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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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 A249589

Adjacent sequences:  A231707 A231708 A231709 * A231711 A231712 A231713

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 12 2013

STATUS

approved

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Last modified April 6 05:38 EDT 2020. Contains 333267 sequences. (Running on oeis4.)