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A263816
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T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,0 0,1 0,2 or 1,0
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9
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9, 82, 32, 572, 948, 121, 3682, 18776, 11305, 450, 25001, 333429, 643905, 134028, 1681, 170946, 6425985, 31916832, 21876416, 1590733, 6272, 1157993, 124854432, 1746531193, 3019386508, 744805993, 18875976, 23409, 7844192, 2392853088
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OFFSET
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1,1
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COMMENTS
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Table starts
......9.........82..........572...........3682...........25001.........170946
.....32........948........18776.........333429.........6425985......124854432
....121......11305.......643905.......31916832......1746531193....96761217077
....450.....134028.....21876416.....3019386508....469723808009.74221751084228
...1681....1590733....744805993...286407546797.126619013196417
...6272...18875976..25345430544.27150876030959
..23409..223995034.862592912860
..87362.2658056430
.326041
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 3*a(n-1) +3*a(n-2) -a(n-3)
k=2: a(n) = 10*a(n-1) +23*a(n-2) -10*a(n-3) -a(n-4)
k=3: [order 15]
k=4: [order 82]
Empirical for row n:
n=1: [linear recurrence of order 26]
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..3..2..4....0..3..2..8..4....0..6..2..8..4....0..3..2..8..4
..5..6..7..8..9....6..1.12..9..7....7..1..9..3.14....5..1..9..6..7
.12.10.11.14.13....5.10.13.11.14....5.11.10.13.12...12.10.11.14.13
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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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