%I #10 Jan 05 2019 06:58:56
%S 81,1024,14641,202500,2825761,39337984,547981281,7632119044,
%T 106302733681,1480602240000,20622143227921,287229348456964,
%U 4000588938543681,55721015032152064,776093624344221121,10809589715215402500
%N Number of (n+1) X (3+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,2 or 1,0.
%H R. H. Hardin, <a href="/A264203/b264203.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) + 44*a(n-2) - 44*a(n-3) - 11*a(n-4) + a(n-5).
%F Empirical g.f.: x*(81 + 133*x - 187*x^2 - 43*x^3 + 4*x^4) / ((1 - x)*(1 - 14*x + x^2)*(1 + 4*x + x^2)). - _Colin Barker_, Jan 05 2019
%e Some solutions for n=3:
%e ..0..3..2..7....4..3..0..1....4..5..2..7....0..3..2..1....4..3..6..1
%e ..6..1..4..5....6..9..2.11....0..1..6..3....6..7..4.11....0..5..2.11
%e ..8..9.10.11...12..5.10..7....8.13.10.15...12..5.14..9...10.13.14..7
%e .12.13.14.15....8.15.14.13...12..9.14.11....8.13.10.15....8..9.12.15
%Y Column 3 of A264207.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 08 2015