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 A264676 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 -1,-1 1,0 -1,-2 -2,-2 or 0,1. 14
 0, 1, 1, 1, 2, 0, 1, 10, 9, 0, 1, 29, 34, 19, 1, 3, 75, 123, 145, 44, 0, 3, 201, 748, 890, 603, 108, 0, 4, 588, 3698, 9205, 6851, 2417, 264, 1, 6, 1700, 17443, 88687, 123222, 43131, 9976, 649, 0, 9, 4785, 84737, 714235, 2025372, 1449467, 291315, 40825, 1573, 0, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....1......1........1...........1.............3..............3 .1....2.....10.......29..........75...........201............588 .0....9.....34......123.........748..........3698..........17443 .0...19....145......890........9205.........88687.........714235 .1...44....603.....6851......123222.......2025372.......29875350 .0..108...2417....43131.....1449467......43095017.....1095840260 .0..264...9976...291315....17406354.....918298857....40765995197 .1..649..40825..1980287...209749118...19297801298..1494347569074 .0.1573.166985.13199209..2503676777..404856272120.54204721906375 .0.3837.684253.88670692.29934965340.8489260394876 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = a(n-3) k=2: a(n) = 2*a(n-1) +a(n-3) +3*a(n-4) +2*a(n-5) -a(n-6) +4*a(n-7) -a(n-8) -a(n-10) k=3: [order 15] k=4: [order 26] for n>27 Empirical for row n: n=1: a(n) = a(n-2) +a(n-3) +a(n-4) -a(n-6) n=2: [order 9] n=3: [order 70] n=4: [order 81] for n>86 EXAMPLE Some solutions for n=4 k=4 ..6..8..1..2..3....7..8..1..2..3...12..8..1..2..3...12.13..1..2..3 ..0..5.14..7..4....0.13..6.14..4....0..5..6..7..4....0.18.19..7..4 .16.10.24.19..9....5.23.24.12..9...17.18.24.19..9....5..6.24..8..9 .21.11.12.13.18...10.11.16.17.18...10.11.16.13.14...10.11.16.17.14 .15.20.17.22.23...15.20.21.22.19...15.20.21.22.23...15.20.21.22.23 CROSSREFS Row 1 is A080013(n+1). Sequence in context: A219034 A256116 A185410 * A091803 A123002 A261161 Adjacent sequences:  A264673 A264674 A264675 * A264677 A264678 A264679 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 20 2015 STATUS approved

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Last modified June 6 17:28 EDT 2020. Contains 334830 sequences. (Running on oeis4.)