A233147 T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, 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, 16, 6, 23, 225, 225, 23, 99, 3727, 13259, 3727, 99, 452, 65120, 845917, 845917, 65120, 452, 2136, 1158334, 54777233, 198313130, 54777233, 1158334, 2136, 10313, 20726079, 3556749764, 46648134615, 46648134615, 3556749764, 20726079

Offset: 1

Author

R. H. Hardin, Dec 04 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

......2...........16...............225....................3727

......6..........225.............13259..................845917

.....23.........3727............845917...............198313130

.....99........65120..........54777233.............46648134615

....452......1158334........3556749764..........10976545771938

...2136.....20726079......231058112982........2582927810338210

..10313....371568349....15011638934832......607799571521107132

..50469...6665506622...975308641633714...143023917159921251486

.249062.119595908140.63366149608139911.33655571006177475521033

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

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) = 25*a(n-1) -134*a(n-2) +134*a(n-3) -25*a(n-4) +a(n-5)

k=3: [order 10] for n>11

k=4: [order 27] for n>28