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%I #6 Nov 10 2015 11:56:28
%S 5,89,804,9005,108020,1249237,14586353,170942377,2001234341,
%T 23442021869,274620887525,3216999655749,37686430970013,
%U 441491908931301,5172017040629972,60589567209926973,709799837866982993
%N Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2.
%C Row 3 of A264244.
%H R. H. Hardin, <a href="/A264247/b264247.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..2..6..7..4....0..1..2..3..4....0..5..6..3..4....0..5..2..3..4
%e ..5..0.11..9..3....5.10..8.12..9....7..8..1..2..9....6.10..1..9.13
%e .10.12.13.14..8...11.15..6..7.14...10.12.16.14.18...12.15.14..7..8
%e .15.16.17.18.19...16.17.18.19.13...15.17.11.19.13...16.17.11.18.19
%Y Cf. A264244.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 09 2015