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A231586 T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors 6
4, 4, 4, 16, 28, 16, 50, 124, 124, 50, 144, 602, 2352, 602, 144, 422, 2776, 32650, 32650, 2776, 422, 1268, 12922, 381076, 1245468, 381076, 12922, 1268, 3823, 60720, 5618444, 38768838, 38768838, 5618444, 60720, 3823, 11472, 286047, 82479418, 1453028265 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....4.......4...........16...............50................144

.....4......28..........124..............602...............2776

....16.....124.........2352............32650.............381076

....50.....602........32650..........1245468...........38768838

...144....2776.......381076.........38768838.........2912579313

...422...12922......5618444.......1453028265.......260228939106

..1268...60720.....82479418......57099276134.....24813120747919

..3823..286047...1142396851....2144257250786...2275463989704521

.11472.1335296..16061107556...79701582158514.205616812796559119

.34350.6256326.231334122108.3015862229160377

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8

k=2: [order 16]

k=3: [order 72] for n>73

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A203094 for n>1

Sequence in context: A218651 A298730 A218181 * A231700 A231746 A275858

Adjacent sequences:  A231583 A231584 A231585 * A231587 A231588 A231589

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 11 2013

STATUS

approved

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Last modified July 8 19:20 EDT 2020. Contains 335524 sequences. (Running on oeis4.)