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A252201
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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7
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9
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441, 585, 585, 970, 470, 970, 1642, 669, 669, 1642, 2931, 1313, 1647, 1313, 2931, 5316, 3201, 5177, 5177, 3201, 5316, 10074, 8526, 17541, 21928, 17541, 8526, 10074, 19529, 23265, 60325, 92287, 92287, 60325, 23265, 19529, 38353, 63626, 206825, 391996
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OFFSET
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1,1
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COMMENTS
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Table starts
...441....585.....970......1642.......2931........5316........10074
...585....470.....669......1313.......3201........8526........23265
...970....669....1647......5177......17541.......60325.......206825
..1642...1313....5177.....21928......92287......391996......1669356
..2931...3201...17541.....92287.....480526.....2547827.....13460703
..5316...8526...60325....391996....2547827....16789626....110131575
.10074..23265..206825...1669356...13460703...110131575....896763106
.19529..63626..711829...7114929...71027985...722619095...7301549086
.38353.174878.2455121..30309104..375675407..4749948439..59570598688
.76314.481751.8451245.129016093.1985308118.31181555268.485457428350
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 49] for n>56
k=2: [order 16] for n>21
k=3: [order 18] for n>23
k=4: [order 24] for n>28
k=5: [order 44] for n>47
k=6: [order 72] for n>75
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EXAMPLE
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Some solutions for n=4 k=4
..2..3..3..3..3..2....3..3..3..3..3..3....3..3..3..3..3..2....3..3..3..3..3..3
..3..3..3..3..3..3....3..2..3..3..3..3....3..3..3..2..3..3....2..3..3..3..3..3
..3..2..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3....3..3..2..3..3..3
..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3
..3..3..2..3..3..2....3..3..3..3..2..3....3..3..2..3..3..3....3..3..3..2..3..3
..2..3..3..3..2..3....3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..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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