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A251381
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7
8
124, 1048, 1048, 9124, 19644, 9124, 80296, 385704, 385704, 80296, 709396, 7712232, 17309672, 7712232, 709396, 6276040, 155378004, 796635224, 796635224, 155378004, 6276040, 55551652, 3140670344, 37078015004, 84953563232, 37078015004
OFFSET
1,1
COMMENTS
Table starts
......124........1048...........9124..............80296................709396
.....1048.......19644.........385704............7712232.............155378004
.....9124......385704.......17309672..........796635224...........37078015004
....80296.....7712232......796635224........84953563232.........9193424418268
...709396...155378004....37078015004......9193424418268......2320685899177020
..6276040..3140670344..1734708707700...1001823357589516....590881254434212576
.55551652.63575161960.81356563852940.109536506378241540.151084764887689962372
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 10*a(n-1) -3*a(n-2) -66*a(n-3) +24*a(n-4)
k=2: [order 12]
k=3: [order 52]
EXAMPLE
Some solutions for n=2 k=4
..2..2..0..2..1....2..2..0..1..0....2..0..2..0..3....2..2..1..3..2
..0..2..3..2..0....0..2..2..3..2....2..2..1..2..0....0..2..1..0..1
..3..0..0..2..3....2..1..2..0..0....2..1..2..0..3....3..1..2..3..2
CROSSREFS
Sequence in context: A206078 A206197 A206190 * A251374 A209730 A185860
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 01 2014
STATUS
approved