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

%I #6 Nov 10 2015 11:57:21

%S 13,1105,36193,1696877,86191713,4157973485,203949869341,

%T 10068447548880,496979668123877,24566696996221317,1214726568932214777,

%U 60069769574449586661,2971050453516367354937,146958735341798221970133

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

%C Row 5 of A264244.

%H R. H. Hardin, <a href="/A264249/b264249.txt">Table of n, a(n) for n = 1..27</a>

%e Some solutions for n=3

%e ..1..4..2..3....2..1..5..3....2..4..5..3....0..1..2..3....0..1..5..3

%e ..5..0..6..7....4..0..7.10....6..0..1..7....4..8..6..7....4..6..7..2

%e .10.12.13.11....8.11.13..6....8.12.10.11....9.12..5.11...10.11.13.14

%e .14..8..9.15...14.16..9.15...13.16..9.15...14.13.15.10...12..8..9.15

%e .18.17.21.19...17.12.18.19...18.20.19.14...18.20.21.19...18.17.21.19

%e .20.16.22.23...20.21.22.23...22.21.17.23...22.16.17.23...20.16.22.23

%Y Cf. A264244.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2015