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Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1.
0

%I #3 Nov 12 2015 23:05:16

%S 3,1462,44264,2486429,147984724,7577203142,396849643846,

%T 20924743041507,1094394105909728

%N Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1.

%C Row 6 of A264422.

%e Some solutions for n=3

%e ..9..6.11..5....5..6..1..2....5..6..7..2....9..6..7..2....9..0..7..5

%e ..0..1..2..3....9.10.11..3....9..1.15..3....0..1.11..3...13..1..2..3

%e ..4..8.15..7....4.18..0..7....4.14..0.10....4..5.19.10....4.14..6.10

%e .21.22.10.14....8.12.19.14...21.22.23.11....8.18.23.14....8.18.23.11

%e .12.13.17.18...21.13.23.15...12.13..8.18...12.22.27.15...12.22.27.15

%e .25.26.27.19...25.17.27.22...25.26.27.19...25.17.21.13...25.26.24.19

%e .20.24.16.23...20.24.16.26...20.24.16.17...20.24.16.26...20.21.16.17

%Y Cf. A264422.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2015