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 A264195 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 0,2 or 2,1. 9
 1, 4, 2, 16, 18, 4, 36, 180, 81, 8, 81, 864, 2025, 360, 16, 225, 4608, 20736, 19845, 1600, 32, 625, 29040, 262144, 395280, 194481, 6760, 64, 1600, 184525, 3748096, 10764800, 7535025, 1944810, 28561, 128, 4096, 1089000, 54479161, 324210304, 442050625 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1.....4.......16.........36...........81.............225.............625 ..2....18......180........864.........4608...........29040..........184525 ..4....81.....2025......20736.......262144.........3748096........54479161 ..8...360....19845.....395280.....10764800.......324210304......9863496016 .16..1600...194481....7535025....442050625.....28044191296...1785793904896 .32..6760..1944810..150305220..19169627850...2585148634024.357076938417216 .64.28561.19448100.2998219536.831295356516.238302234835681 LINKS R. H. Hardin, Table of n, a(n) for n = 1..83 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: [order 14] k=3: a(n) = 10*a(n-1) for n>5 k=4: [order 14] for n>16 k=5: [order 58] Empirical for row n: n=1: a(n) = 3*a(n-1) -3*a(n-2) +6*a(n-3) -6*a(n-5) +3*a(n-6) -3*a(n-7) +a(n-8) n=2: [order 44] n=3: [order 30] EXAMPLE Some solutions for n=3 k=4 ..2..1.13..3..4...11..1.13..3..4...11..1.13.14..4....0.12..2.14..4 ..5.17..7..6..9....5..6..9.19..7....5..6..9.19..7....7..6..5..8..9 .10..0.14.11.12...10..0.14..2.12...12..0.10..2..3...10.13..1.11..3 .15.16.19.18..8...15.18.17.16..8...15.16.17.18..8...17.18.15.16.19 CROSSREFS Column 1 is A000079(n-1). Row 1 is A189145(n+1). Sequence in context: A038232 A254632 A084623 * A182872 A137393 A122749 Adjacent sequences:  A264192 A264193 A264194 * A264196 A264197 A264198 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 07 2015 STATUS approved

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Last modified August 9 10:09 EDT 2022. Contains 356021 sequences. (Running on oeis4.)