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%I #6 Nov 10 2015 11:48:31
%S 57,557,9005,119737,1696877,23471441,327315125,4550623993,63332634829,
%T 881085142545,12259302597477,170566085797129,2373159477199485,
%U 33018589462835969,459400051193918037,6391800733520800057
%N Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2.
%C Column 4 of A264244.
%H R. H. Hardin, <a href="/A264240/b264240.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 19*a(n-1) -42*a(n-2) -600*a(n-3) +2768*a(n-4) +2064*a(n-5) -29636*a(n-6) +37104*a(n-7) +54432*a(n-8) -121808*a(n-9) +3440*a(n-10) +66048*a(n-11) +320*a(n-12) +115712*a(n-13) -190720*a(n-14) -115456*a(n-15) +246016*a(n-16) +15360*a(n-17) -81920*a(n-18)
%e Some solutions for n=4
%e ..0..1..4..3..8....0..1..4..7..8....0..1..4..3..8....0..2..6..3..4
%e ..5..6..7..2..9....5..6..9..2..3....5.10..7..2..9....5.10..1.12..9
%e .11.13.16.17.14...12.13.16.14.18...12.11..6.13.14...11.15.14..7..8
%e .15.10.21.12.19...15.10.11.22.19...16.17.21.18.19...17.20.18.19.13
%e .20.23.22.24.18...20.21.23.17.24...20.15.22.23.24...22.21.16.23.24
%Y Cf. A264244.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 09 2015
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