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%I #6 Nov 10 2015 11:12:27
%S 2,18,180,864,4608,29040,184525,1089000,6480000,39335400,238918849,
%T 1439151168,8674025472,52415185536,316746710820,1912128349230,
%U 11543580054050,69713595928295,421013268028981,2542224621830400
%N Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 2,1.
%C Row 2 of A264195.
%H R. H. Hardin, <a href="/A264196/b264196.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) +52*a(n-3) +300*a(n-4) -532*a(n-5) +119*a(n-6) -6244*a(n-7) -24121*a(n-8) +16320*a(n-9) -2400*a(n-10) +131520*a(n-11) +471143*a(n-12) -200732*a(n-13) +14903*a(n-14) -916076*a(n-15) -3182100*a(n-16) +1079756*a(n-17) -26017*a(n-18) +2328572*a(n-19) +7880063*a(n-20) -2432640*a(n-21) -2432640*a(n-23) -7880063*a(n-24) +2328572*a(n-25) +26017*a(n-26) +1079756*a(n-27) +3182100*a(n-28) -916076*a(n-29) -14903*a(n-30) -200732*a(n-31) -471143*a(n-32) +131520*a(n-33) +2400*a(n-34) +16320*a(n-35) +24121*a(n-36) -6244*a(n-37) -119*a(n-38) -532*a(n-39) -300*a(n-40) +52*a(n-41) +a(n-42) +4*a(n-43) +a(n-44)
%e Some solutions for n=4
%e .11..3.13..1..4....0..1..4.14..2....0..1..2.14..4....0..1..4.14..2
%e ..7..6..5..8..9....5..8..7..6..9....5..8..7..6..9....5..6..9..8..7
%e .10..0.14..2.12...12.11.10.13..3...12.13.10.11..3...10.13.12.11..3
%Y Cf. A264195.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2015
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