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A233113
T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order
9
1, 2, 2, 6, 19, 6, 23, 313, 313, 23, 99, 6046, 24912, 6046, 99, 452, 123352, 2154065, 2154065, 123352, 452, 2136, 2565169, 189286871, 794723482, 189286871, 2565169, 2136, 10313, 53692063, 16683923848, 294285758398, 294285758398, 16683923848
OFFSET
1,2
COMMENTS
Table starts
....1........2.............6................23.....................99
....2.......19...........313..............6046.................123352
....6......313.........24912...........2154065..............189286871
...23.....6046.......2154065.........794723482...........294285758398
...99...123352.....189286871......294285758398........457873555330159
..452..2565169...16683923848...109015274761891.....712427482567592092
.2136.53692063.1471365099497.40385221182281560.1108502928092713640626
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) = 29*a(n-1) -175*a(n-2) +147*a(n-3)
k=3: a(n) = 111*a(n-1) -2128*a(n-2) +10532*a(n-3) -17559*a(n-4) +9045*a(n-5)
k=4: [order 7]
k=5: [order 15]
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0
..0..2..2..5....1..1..0..2....1..0..4..2....2..4..2..5....0..0..1..0
..0..2..1..2....2..1..1..5....0..1..3..1....4..0..0..3....2..2..0..1
CROSSREFS
Sequence in context: A357537 A173098 A370836 * A366731 A341380 A171694
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 04 2013
STATUS
approved