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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
7
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
1,2
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
LINKS
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]
EXAMPLE
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
CROSSREFS
Column 1 is A233106
Sequence in context: A049952 A019100 A019101 * A320070 A319866 A266007
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 06 2013
STATUS
approved