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Number of (7+1)X(n+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.
1

%I #4 Nov 17 2015 15:41:43

%S 0,93,1204,23140,813473,25172836,591482528,15554895920,426023121887,

%T 11212094301173,288664400022091,7526121840247476,196724860860294913,

%U 5099876575111214715,131971387912281226253,3420386371154190796380

%N Number of (7+1)X(n+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.

%C Row 7 of A264550.

%H R. H. Hardin, <a href="/A264556/b264556.txt">Table of n, a(n) for n = 1..73</a>

%e Some solutions for n=4

%e ..1..2..3..4..7....1..2..5..6..8....1..2..3..4..8....1..2..6..4..8

%e ..0.10..8.11.13....0..7.10..3..4....0..7.11.12.13....0..7.10..3.12

%e ..5..6.15.14..9...11.12.15.17..9....5..6.15.16..9....5.15.13.14..9

%e .16.20.12.22.23...16.20.18.13.14...10.17.20.19.14...16.11.20.19.23

%e .21.25.17.18.19...21.22.23.24.19...21.22.23.18.28...21.22.17.18.27

%e .26.27.30.32.24...26.27.30.31.33...26.27.30.32.24...26.30.28.29.24

%e .31.35.33.28.29...25.32.35.28.29...25.35.33.37.29...25.35.33.37.38

%e .36.37.38.39.34...36.37.38.39.34...36.31.38.39.34...36.31.32.39.34

%Y Cf. A264550.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015