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%I #10 Jan 04 2019 12:16:48
%S 144,2745,54756,1086300,21511044,426058380,8439361956,167165327340,
%T 3311169794244,65586863070540,1299129134512356,25732843496983980,
%U 509710092283466244,10096217247223673100,199983489178768081956
%N Number of (n+1) X (4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 1,1.
%H R. H. Hardin, <a href="/A264107/b264107.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 19*a(n-1) + 304*a(n-3) + 256*a(n-4).
%F Empirical g.f.: 9*x*(16 + x + 289*x^2 + 240*x^3) / ((1 + 16*x^2)*(1 - 19*x - 16*x^2)). - _Colin Barker_, Jan 04 2019
%e Some solutions for n=3:
%e ..0..7..2..3..4....0..3..8..1..4....0..3..8..1..4....0..3..4..1..2
%e .11..8..1..6..9...11..6..9..2..7....5.12.13..2..9....7..8.13..6..9
%e .10..5.14.19.12...10..5.14.19.12...10.11..6..7.14...12..5.10.11.14
%e .17.18.15.16.13...15.18.17.16.13...15.16.19.18.17...17.18.15.16.19
%Y Column 4 of A264110.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 03 2015
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