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A234760
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both
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8
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110, 1014, 1014, 8968, 26642, 8968, 80010, 646036, 646036, 80010, 712722, 15939010, 41065150, 15939010, 712722, 6350732, 392044622, 2683721676, 2683721676, 392044622, 6350732, 56585338, 9648827736, 174451064914, 469243923298
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OFFSET
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1,1
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COMMENTS
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Table starts
.....110.......1014...........8968.............80010...............712722
....1014......26642.........646036..........15939010............392044622
....8968.....646036.......41065150........2683721676.........174451064914
...80010...15939010.....2683721676......469243923298.......81436516016562
..712722..392044622...174451064914....81436516016562....37650372740746368
.6350732.9648827736.11352560005654.14155719250115192.17443322778721788150
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 8*a(n-1) +10*a(n-2) -16*a(n-3) -8*a(n-4) +4*a(n-5) +a(n-6)
k=2: [order 17]
k=3: [order 55]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..3..2..3....0..0..2..3..3....0..0..1..1..1....0..0..1..1..0
..0..1..2..2..1....0..1..2..2..3....0..0..0..0..1....0..0..1..0..1
..0..0..3..1..0....0..0..0..1..1....0..0..0..0..2....1..0..0..1..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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