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%I #6 Nov 10 2015 11:12:52
%S 4,81,2025,20736,262144,3748096,54479161,741200625,10251562500,
%T 143054150625,1998607065841,27789935251456,386869246296064,
%U 5389119716069376,75077285065499025,1045564592618903841
%N Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,2 or 2,1.
%C Row 3 of A264195.
%H R. H. Hardin, <a href="/A264197/b264197.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) -a(n-2) +2911*a(n-4) -40754*a(n-5) +2911*a(n-6) -567645*a(n-8) +7947030*a(n-9) -567645*a(n-10) +7909187*a(n-12) -110728618*a(n-13) +7909187*a(n-14) -7909187*a(n-16) +110728618*a(n-17) -7909187*a(n-18) +567645*a(n-20) -7947030*a(n-21) +567645*a(n-22) -2911*a(n-24) +40754*a(n-25) -2911*a(n-26) +a(n-28) -14*a(n-29) +a(n-30)
%e Some solutions for n=4
%e ..2..3.13..1..4....0..3..2..1..4...11..1.13.14..4....0.12.13.14..4
%e .16..6..5..8..9....5..8..9..6..7....5..6..9..8..7....5..6..9.19..7
%e .12..0.10.11.14...10.13.12.11.14...10..0.12..2..3...10.11..1..2..3
%e .15.18.17..7.19...15.18.17.16.19...15.18.19.16.17...17.18.15.16..8
%Y Cf. A264195.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2015
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