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 A264422 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 2,2 1,0 -1,2 -2,-1 or -1,-1. 11
 0, 2, 1, 0, 3, 1, 0, 12, 20, 1, 4, 37, 96, 85, 1, 0, 119, 499, 529, 351, 3, 0, 385, 2681, 7311, 4843, 1462, 3, 8, 1252, 15088, 101862, 137584, 44264, 6021, 4, 0, 4061, 86469, 1103666, 4023076, 2486429, 352713, 25188, 6, 0, 13166, 479787, 13805196, 95946259 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .0......2.........0...........0............4............0............0 .1......3........12..........37..........119..........385.........1252 .1.....20........96.........499.........2681........15088........86469 .1.....85.......529........7311.......101862......1103666.....13805196 .1....351......4843......137584......4023076.....95946259...2486418295 .3...1462.....44264.....2486429....147984724...7577203142.396849643846 .3...6021....352713....40217261...5498758183.577598946184 .4..25188...2840274...681146169.201733617932 .6.104870..23795758.11846231201 .9.437164.197390196 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +a(n-3) +a(n-4) -a(n-6) k=2: [order 56] k=3: [order 70] Empirical for row n: n=1: a(n) = 2*a(n-3) n=2: a(n) = 3*a(n-1) +a(n-3) +5*a(n-4) +a(n-7) n=3: [order 33] n=4: [order 16] for n>18 EXAMPLE Some solutions for n=4 k=4 ..6..7..8..2..3....6..7..8..2..3....6..0..8..9..3....6.12.13.14..3 ..0..1.13.19..4...11..1.13.19..4...16..1..2..7..4....0..1..2.19..4 ..5.17.18.12..9....5.17..0.12..9....5.17.11.19.13...16.10..7..8..9 .21.22.20.24.14...10.22.16.24.14...10.22.23.24.14...21.11..5.24.22 .15.16.10.11.23...15.20.21.18.23...15.20.21.18.12...15.20.17.18.23 CROSSREFS Column 1 is A080013(n+1). Sequence in context: A029293 A218254 A285037 * A176808 A327029 A167192 Adjacent sequences:  A264419 A264420 A264421 * A264423 A264424 A264425 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 12 2015 STATUS approved

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Last modified December 9 17:18 EST 2019. Contains 329879 sequences. (Running on oeis4.)