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

%I #6 Nov 10 2015 12:05:08

%S 260,19204,1149961,86079818,5865099776,408612967960,28536242142800,

%T 1983317242018219,138222437005789644,9625192136969437700,

%U 670266342433518586088,46680854010722596761288,3250798094419548125095716

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

%C Column 5 of A264163.

%H R. H. Hardin, <a href="/A264162/b264162.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=2

%e ..1..2..8..9..3.11....6..2..8..1..5..3....1..0..8..9..3..4....6..0..1..4..5.11

%e ..0.13..7.10..4..5...12.13..9.10.16.17....7..6.14.15.11.17....7..8..2.10.16..9

%e ..6.12.15.14.17.16....0..7.15.14..4.11...13.12..2.16.10..5...13.14.12..3.17.15

%Y Cf. A264163.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 06 2015