A233230 T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

1, 2, 2, 6, 14, 6, 23, 174, 174, 23, 99, 2541, 8231, 2541, 99, 452, 39203, 420948, 420948, 39203, 452, 2136, 616454, 21895530, 72049266, 21895530, 616454, 2136, 10313, 9757236, 1142726121, 12389989684, 12389989684, 1142726121, 9757236, 10313

Offset: 1

Author

R. H. Hardin, Dec 06 2013

Keywords

• nonn
• tabl

Comments

Table starts

......1...........2................6.....................23

......2..........14..............174...................2541

......6.........174.............8231.................420948

.....23........2541...........420948...............72049266

.....99.......39203.........21895530............12389989684

....452......616454.......1142726121..........2131764323784

...2136.....9757236......59679029456........366805442634477

..10313...154782591....3117164734533......63115455429961173

..50469..2457231917..162820623245643...10860156414181066717

.249062.39019481264.8504746957840386.1868686679256045815893

Examples

			Some solutions for n=3 k=4
..0..1..1..1....0..1..2..1....0..1..1..2....0..1..0..0....0..1..2..1
..1..0..2..5....3..0..1..1....1..0..2..2....1..0..2..4....0..0..2..2
..1..0..1..1....3..0..2..5....1..1..1..1....1..2..4..5....0..1..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A233106

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -23*a(n-2) +15*a(n-3)

k=2: a(n) = 21*a(n-1) -79*a(n-2) -41*a(n-3) +72*a(n-4) +28*a(n-5)

k=3: [order 10]

k=4: [order 23]