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%I #6 Nov 10 2015 11:36:42
%S 288,7328,223245,6444000,189087285,5520382336,161423594928,
%T 4717876917930,137910095370105,4031095446144000,117830405147249257,
%U 3444207449093089718,100675084518513430992,2942757343527455652352,86017533272124601255749
%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 1,0.
%C Column 4 of A264207.
%H R. H. Hardin, <a href="/A264204/b264204.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 18*a(n-1) +423*a(n-2) -1602*a(n-3) -36822*a(n-4) +43134*a(n-5) +1104234*a(n-6) -1104336*a(n-7) -14587215*a(n-8) +17848380*a(n-9) +88345137*a(n-10) -120161976*a(n-11) -266182229*a(n-12) +363694632*a(n-13) +434017923*a(n-14) -518991428*a(n-15) -434017923*a(n-16) +363694632*a(n-17) +266182229*a(n-18) -120161976*a(n-19) -88345137*a(n-20) +17848380*a(n-21) +14587215*a(n-22) -1104336*a(n-23) -1104234*a(n-24) +43134*a(n-25) +36822*a(n-26) -1602*a(n-27) -423*a(n-28) +18*a(n-29) +a(n-30)
%e Some solutions for n=2
%e ..2..1..4..3..9....0..3..4..1..2....0..1..7..8..2....2..1..0..3..9
%e ..0..6.12..8..7....7..8..5..6.14...10..6..9..3..4...10..8..7..6..4
%e ..5.11.10.13.14...12.13.10.11..9....5.13.12.11.14....5.11.12.13.14
%Y Cf. A264207.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 08 2015
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