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A233980
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T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 13 (13 maximizes T(1,1))
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7
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216, 1308, 1308, 7920, 8688, 7920, 50680, 59440, 59440, 50680, 323296, 453988, 455832, 453988, 323296, 2103216, 3530540, 4097024, 4097024, 3530540, 2103216, 13644992, 29109544, 37974312, 44228076, 37974312, 29109544, 13644992, 89161440
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OFFSET
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1,1
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COMMENTS
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Table starts
......216.......1308........7920.........50680.........323296........2103216
.....1308.......8688.......59440........453988........3530540.......29109544
.....7920......59440......455832.......4097024.......37974312......389559628
....50680.....453988.....4097024......44228076......495606992.....6350866260
...323296....3530540....37974312.....495606992.....6722569296...106538195860
..2103216...29109544...389559628....6350866260...106538195860..2104951002192
.13644992..242057156..4063204904...83799022884..1761816856536.43731733430488
.89161440.2076801776.45100814568.1214582838052.32808290260544
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 78*a(n-2) -1896*a(n-4) +18176*a(n-6) -65792*a(n-8) +67072*a(n-10)
k=2: [order 62]
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EXAMPLE
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Some solutions for n=2 k=4
..3..5..3..5..3....0..2..5..4..6....3..4..6..4..1....3..4..3..2..6
..1..4..1..4..1....4..3..1..5..2....1..5..2..5..5....0..4..0..4..5
..5..5..5..5..3....1..5..4..3..1....3..4..6..4..1....2..1..0..1..3
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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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