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Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 1,0 0,-1 1,2 or -1,1.
1

%I #4 Nov 18 2015 20:38:11

%S 1,16,25,505,3668,30718,366292,2509523,26091488,234351923,1992122611,

%T 19022851600,163598409399,1504760262107,13600577455859,

%U 120731359424594,1101615290572263,9840525557651890,88782728901771783,800828577200616792

%N Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 1,0 0,-1 1,2 or -1,1.

%C Row 5 of A264583.

%H R. H. Hardin, <a href="/A264588/b264588.txt">Table of n, a(n) for n = 1..171</a>

%e Some solutions for n=4

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

%e ..0..7.11.12.13....0..7.11..9.13....6..7..0..9.13....6.10..0..9..2

%e ..5..6.16.14..9....5..6.16.14.18...11.12..5.17.18...11.12.13.14..7

%e .10.20.18.19.23...10.20.12.22.23...16.20.10.19.14...16.17.21.22.23

%e .15.25.17.27.28...15.25.17.27.19...15.25.23.27.28...15.25.26.18.19

%e .26.21.22.29.24...26.21.28.29.24...26.21.22.29.24...20.27.28.29.24

%Y Cf. A264583.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 18 2015