%I #4 Nov 16 2015 17:15:27
%S 1,3,9,42,196,644,2116,6854,22201,78076,274576,937960,3204100,
%T 10890360,37015056,126620208,433139344,1480295124,5059050129,
%U 17273618712,58979036736,201463380504,688168134481,2350844113032,8030694487104
%N Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.
%C Row 3 of A264520.
%H R. H. Hardin, <a href="/A264521/b264521.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..5..6..9..1..2....7..6..0..1..2....7..8..0..1..9....5..6..7..1..2
%e ..0.13.14..3..4...12.13.14..3..4...12.13..2..3..4....0.13.12..3..4
%e .15.18..7..8.19....5.18.19..8..9....5..6.17.18.19...17.18.19..8..9
%e .10.11.12.16.17...10.11.15.16.17...10.11.15.16.14...10.11.15.16.14
%Y Cf. A264520.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 16 2015