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A203934
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T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
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9
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396, 4356, 4356, 47916, 106596, 47916, 527076, 2543436, 2543436, 527076, 5797836, 60873876, 140120856, 60873876, 5797836, 63776196, 1456391916, 7748585676, 7748585676, 1456391916, 63776196, 701538156, 34845401556, 428652828396
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OFFSET
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1,1
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COMMENTS
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Table starts
........396...........4356.............47916................527076
.......4356.........106596...........2543436..............60873876
......47916........2543436.........140120856............7748585676
.....527076.......60873876........7748585676.........1012872412476
....5797836.....1456391916......428652828396.......132923754354276
...63776196....34845401556....23714024087016.....17475349695161076
..701538156...833700866796..1311917257647036...2297197186864332876
.7716919716.19946896311636.72578467770478956.302046352349437619676
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LINKS
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FORMULA
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Empirical for row k:
k=1: a(n) = 36*11^n
k=2: a(n) = 21*a(n-1) +70*a(n-2)
k=3: a(n) = 61*a(n-1) -315*a(n-2) +50*a(n-3)
k=4: a(n) = 91*a(n-1) +7335*a(n-2) -264625*a(n-3) -85500*a(n-4) +10470000*a(n-5) +2475000*a(n-6) -20750000*a(n-7)
k=5: (order 12 recurrence)
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EXAMPLE
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Some solutions for n=4 k=3
..3..1..5..2....5..4..3..2....1..1..0..4....3..4..0..5....1..0..3..3
..0..3..1..5....1..5..4..3....5..1..1..0....2..3..4..0....3..1..0..3
..3..5..3..1....4..1..5..4....1..4..1..1....5..2..3..4....0..3..1..0
..1..3..3..3....4..4..1..5....2..1..3..1....5..5..2..3....3..2..3..1
..2..1..3..5....2..4..4..1....0..2..1..3....1..5..5..2....1..3..4..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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