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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 -1,1 0,-1 0,1 or 1,0.
1

%I #4 Nov 15 2015 18:42:55

%S 9,32,1790,41622,1041411,26941396,655642859,16421827254,402239227318,

%T 9892351915112,241875211328987,5905726801768670,143942038344689945,

%U 3503368104963586176,85196901831680746105,2070150565238741962034

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

%C Row 6 of A264506.

%H R. H. Hardin, <a href="/A264512/b264512.txt">Table of n, a(n) for n = 1..206</a>

%e Some solutions for n=4

%e ..1..0..3..2..8....1..0..3..2..8....1..2..6..4..3....1..2..3..4..8

%e ..6.10.11..9..4....6..7.11.12..4....0.10.11..7..8....0..5..6.12.13

%e ..5.12..7.14.13....5.15.13.14..9....5.15.13.14..9...11.10..7.14..9

%e .16.17.21.22.18...10.20.18.19.23...16.20.12.17.18...16.15.18.22.23

%e .15.25.23.24.19...21.16.17.27.28...21.22.23.24.19...21.20.17.24.19

%e .20.30.26.29.28...26.30.22.29.24...26.30.31.27.28...26.25.28.32.33

%e .31.32.27.34.33...25.32.31.34.33...25.32.33.34.29...31.30.27.34.29

%Y Cf. A264506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2015