%I #8 Apr 25 2023 13:47:28

%S 10,72,412,2927,19204,126688,845296,5596616,37146638,246557278,

%T 1635702595,10854696412,72027127388,477937014228,3171424959593,

%U 21044247526367,139641162227280,926603205742348,6148564722522943

%N Number of (n+1) X (2+1) arrays of permutations of 0..n*3+2 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0.

%C Column 2 of A264163.

%H R. H. Hardin, <a href="/A264159/b264159.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A264159/a264159.txt">Empirical recurrence of order 84</a>

%F Empirical recurrence of order 84 (see link above).

%e Some solutions for n=4

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

%e ..6..7..8....0..7..3....6..1..2....6..1..4....0..5..8....0..5..8....0..7..8

%e ..0..4.11....9..8.11....9..8..7....7.10..5....7..4..6....9..6..2....9..4.11

%e ..3..9.14....6..4.10...10..4.14...12.11..8...12.11.10...10.11.14....3.13.14

%e .13.10.12...13.14.12...13.12.11....9.14.13....9.14.13...13..7.12....6.10.12

%Y Cf. A264163.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 06 2015