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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 -1,2 1,0 or 0,-1.
1

%I #4 Nov 17 2015 15:41:07

%S 0,44,400,4640,105081,1994830,29691127,480994368,8117368800,

%T 132754460552,2133045608920,34553147199456,560889832726788,

%U 9059789552261840,146150531190902752,2359511442598185984,38084486000051713136

%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 -1,2 1,0 or 0,-1.

%C Row 6 of A264550.

%H R. H. Hardin, <a href="/A264555/b264555.txt">Table of n, a(n) for n = 1..190</a>

%e Some solutions for n=4

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

%e ..0..7..2..3.13....0..7.11..3.13....0.10.11.12..4....0.10.11..9.12

%e .11.15.16.14..9....5.12.16.14..9....5..6.13.14..9....5..6.15..8.18

%e .10.20.12.19.23...10.17.21.19.22...16.17.21.19.22...16.17.20.13.14

%e .21.22.17.18.28...15.25.26.18.28...15.25.26.18.27...21.22.23.27.19

%e .26.27.30.31.24...20.27.30.23.24...20.30.28.23.24...26.30.28.31.24

%e .25.32.33.34.29...31.32.33.34.29...31.32.33.34.29...25.32.33.34.29

%Y Cf. A264550.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015