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A222894
T(n,k)=Number of nXk 0..7 arrays with no element equal to another at a city block distance of exactly two, and new values 0..7 introduced in row major order
5
1, 2, 2, 3, 7, 3, 7, 34, 34, 7, 20, 389, 991, 389, 20, 67, 7145, 84521, 84521, 7145, 67, 255, 179465, 11047723, 46407465, 11047723, 179465, 255, 1080, 5426201, 1639681049, 30122054696, 30122054696, 1639681049, 5426201, 1080, 5016, 180390761
OFFSET
1,2
COMMENTS
Table starts
....1.........2............3..............7.............20.............67
....2.........7...........34............389...........7145.........179465
....3........34..........991..........84521.......11047723.....1639681049
....7.......389........84521.......46407465....30122054696.20029573364121
...20......7145.....11047723....30122054696.86240147780852
...67....179465...1639681049.20029573364121
..255...5426201.251412693667
.1080.180390761
.5016
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 22*a(n-1) -190*a(n-2) +820*a(n-3) -1849*a(n-4) +2038*a(n-5) -840*a(n-6) for n>8
k=2: a(n) = 66*a(n-1) -1353*a(n-2) +10648*a(n-3) -30096*a(n-4) +20736*a(n-5) for n>7
k=3: a(n) = 211*a(n-1) -9385*a(n-2) +110913*a(n-3) -253890*a(n-4) for n>6
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..2....0..1..2..3....0..1..2..3....0..1..2..3....0..1..1..2
..3..4..5..3....2..4..4..5....4..1..5..6....4..5..5..1....2..3..4..4
..5..2..1..4....6..0..0..2....2..3..0..6....6..3..4..0....5..5..6..7
CROSSREFS
Sequence in context: A222944 A222871 A222779 * A210753 A208762 A209746
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 08 2013
STATUS
approved