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A264163
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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 directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0.
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6
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4, 10, 10, 29, 72, 29, 89, 412, 412, 89, 260, 2927, 5296, 2927, 260, 772, 19204, 82167, 82167, 19204, 772, 2281, 126688, 1149961, 2765728, 1149961, 126688, 2281, 6741, 845296, 16609233, 86079818, 86079818, 16609233, 845296, 6741, 19940, 5596616
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OFFSET
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1,1
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COMMENTS
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Table starts
.....4........10...........29.............89..............260..............772
....10........72..........412...........2927............19204...........126688
....29.......412.........5296..........82167..........1149961.........16609233
....89......2927........82167........2765728.........86079818.......2726236497
...260.....19204......1149961.......86079818.......5865099776.....408612967960
...772....126688.....16609233.....2726236497.....408612967960...62592982984064
..2281....845296....239550224....86548482676...28536242142800.9610501585172009
..6741...5596616...3438669140..2736421213693.1983317242018219
.19940..37146638..49526113317.86706789763033
.58954.246557278.712398787569
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 2*a(n-1) +2*a(n-2) +2*a(n-3) +4*a(n-5) -a(n-8)
k=2: [order 84]
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..3..4..2....1..0..3..4..9....5..2..3..1..9....5..2..0..4..3
..6..5..8..9..7...10..7..2..6.14....0..7..6.13..8....6..1..8.13.14
.11.10.17.12.19...15.16.11..8.13...15.16.17.14..4...11.16.17.12..9
.16.15.18.13.14....5.17.12.19.18...10.11.12.19.18...10.15..7.19.18
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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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