A233147 - OEIS

%I #4 Dec 04 2013 17:51:40

%S 1,2,2,6,16,6,23,225,225,23,99,3727,13259,3727,99,452,65120,845917,

%T 845917,65120,452,2136,1158334,54777233,198313130,54777233,1158334,

%U 2136,10313,20726079,3556749764,46648134615,46648134615,3556749764,20726079

%N 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

%C Table starts

%C ......1............2.................6......................23

%C ......2...........16...............225....................3727

%C ......6..........225.............13259..................845917

%C .....23.........3727............845917...............198313130

%C .....99........65120..........54777233.............46648134615

%C ....452......1158334........3556749764..........10976545771938

%C ...2136.....20726079......231058112982........2582927810338210

%C ..10313....371568349....15011638934832......607799571521107132

%C ..50469...6665506622...975308641633714...143023917159921251486

%C .249062.119595908140.63366149608139911.33655571006177475521033

%H R. H. Hardin, <a href="/A233147/b233147.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

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

%F k=2: a(n) = 25*a(n-1) -134*a(n-2) +134*a(n-3) -25*a(n-4) +a(n-5)

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

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

%e Some solutions for n=3 k=4

%e ..0..0..0..1....0..0..0..0....0..0..0..1....0..0..1..1....0..0..0..1

%e ..1..2..2..2....1..2..2..4....1..0..2..5....2..0..1..5....0..0..2..2

%e ..2..1..2..4....5..5..2..4....3..4..5..5....1..2..2..2....3..1..0..2

%Y Column 1 is A233106

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Dec 04 2013