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 A264142 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 1,-2 or 1,1. 9
 2, 8, 4, 18, 27, 8, 45, 144, 125, 16, 125, 720, 1440, 512, 32, 320, 3600, 15488, 14400, 2197, 64, 832, 18000, 168948, 297920, 144000, 9261, 128, 2197, 90000, 1903336, 7001316, 5953600, 1440000, 39304, 256, 5733, 450000, 20768650, 163887724 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2.....8.......18.........45..........125.............320...............832 ...4....27......144........720.........3600...........18000.............90000 ...8...125.....1440......15488.......168948.........1903336..........20768650 ..16...512....14400.....297920......7001316.......163887724........3798503424 ..32..2197...144000....5953600....302693857.....15238898080......758116015189 ..64..9261..1440000..117534144..12968882161...1376159333484...147813083354689 .128.39304.14400000.2330885440.557669432592.125699825697364.29086230347332416 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) +6*a(n-2) -3*a(n-3) -a(n-4) k=3: a(n) = 10*a(n-1) for n>2 k=4: [order 8] k=5: [order 32] k=6: [order 95] Empirical for row n: n=1: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -9*a(n-4) +3*a(n-5) -a(n-6) +3*a(n-7) -a(n-8) n=2: a(n) = 5*a(n-1) for n>3 n=3: [order 67] n=4: [order 95] EXAMPLE Some solutions for n=3 k=4 ..0..1..2..6..4....6..1..2..3..4....6..1..8..9..4....6..7..5..9..4 ..5..3..7.11.12...11..0.10..8..9....2..0..7.11..3....2..0..1..8..3 .10.17..9.16..8....7..5.12.13.17...10..5.12.16.17...10.11.15.13.17 .15.13.14.18.19...15.16.14.18.19...15.13.14.18.19...12.16.14.18.19 CROSSREFS Column 1 is A000079. Column 2 is A056570(n+2). Row 1 is A264054. Sequence in context: A110003 A035302 A104772 * A088156 A019193 A253884 Adjacent sequences:  A264139 A264140 A264141 * A264143 A264144 A264145 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 04 2015 STATUS approved

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Last modified January 24 08:31 EST 2022. Contains 350534 sequences. (Running on oeis4.)