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A197242
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T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.
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7
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1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 8, 15, 8, 1, 1, 18, 46, 46, 18, 1, 1, 37, 156, 231, 156, 37, 1, 1, 73, 507, 1221, 1221, 507, 73, 1, 1, 151, 1637, 6284, 10649, 6284, 1637, 151, 1, 1, 306, 5338, 32754, 89527, 89527, 32754, 5338, 306, 1, 1, 621, 17401, 170928, 750414, 1209990, 750414, 170928, 17401, 621, 1
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OFFSET
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1,5
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COMMENTS
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Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2's.
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LINKS
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EXAMPLE
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Table starts:
1 1 1 1 1 1 1 1
1 2 5 8 18 37 73 151
1 5 15 46 156 507 1637 5338
1 8 46 231 1221 6284 32754 170928
1 18 156 1221 10649 89527 750414 6315333
1 37 507 6284 89527 1209990 16248436 220537819
1 73 1637 32754 750414 16248436 352842084 7724652441
1 151 5338 170928 6315333 220537819 7724652441 271939715540
1 306 17401 888997 53202193 2991520965 168523962450 9558380534198
1 621 56648 4628482 448046100 40512793371 3676078979774 336139854722483
...
Some solutions containing all values 0 to 4 for n=6 and k=4:
2 2 1 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2
2 2 3 1 0 2 4 2 2 2 2 0 0 2 2 2 0 2 4 2
0 0 1 0 1 2 2 2 2 4 2 0 0 2 4 2 0 2 2 2
2 2 2 0 3 1 0 1 2 2 2 1 0 2 2 2 0 1 0 0
2 4 2 0 1 1 1 3 0 0 1 3 0 1 0 0 0 3 1 0
2 2 2 0 1 3 1 1 0 0 0 1 1 3 1 0 0 1 0 0
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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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