A230694 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least two elements with value (x(i,j)+1) mod 3, and upper left element zero

2, 4, 4, 21, 12, 21, 139, 144, 144, 139, 913, 2494, 9430, 2494, 913, 6276, 39504, 442490, 442490, 39504, 6276, 43544, 697059, 18880359, 50969202, 18880359, 697059, 43544, 301609, 12059186, 845419469, 5571354016, 5571354016, 845419469, 12059186

Offset

1,1

Comments

Table starts

......2.........4............21............139.............913............6276

......4........12...........144...........2494...........39504..........697059

.....21.......144..........9430.........442490........18880359.......845419469

....139......2494........442490.......50969202......5571354016....635625937026

....913.....39504......18880359.....5571354016...1548060050659.450250672900459

...6276....697059.....845419469...635625937026.450250672900459

..43544..12059186...37380126077.71568693539665

.301609.208611750.1652305192566

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Formula

Empirical for column k:

k=1: [order 22]

k=2: [order 94]

Example

Some solutions for n=2 k=4
..0..2..0..2..1..0....0..2..2..1..0..1....0..1..2..2..2..0....0..1..0..2..1..0
..1..1..0..1..2..1....1..1..0..0..2..2....1..2..0..0..1..1....2..1..2..0..1..2
..0..2..1..2..2..0....0..2..1..1..0..1....1..2..2..1..2..0....0..0..0..2..0..0
..2..0..1..0..2..1....2..0..1..2..0..2....0..1..1..1..0..2....2..1..2..2..1..2

Crossrefs

Sequence in context: A326773 A241211 A155720 * A155725 A103973 A322635

Adjacent sequences: A230691 A230692 A230693 * A230695 A230696 A230697

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 27 2013

Status

approved