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A264485 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.

%I A264485 #6 Nov 14 2015 16:53:23
%S A264485 1,1,12,16,214,324,2960,6442,42656,113575,636361,1918550,9612512,
%T A264485 31689325,147107038,515046002,2273096344,8287463026,35352586169,
%U A264485 132498950637,552353463562,2109344649645,8657596384451,33484770583688
%N A264485 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.
%C A264485 Column 2 of A264490.
%H A264485 R. H. Hardin, <a href="/A264485/b264485.txt">Table of n, a(n) for n = 1..210</a>
%F A264485 Empirical: a(n) = 20*a(n-2) +8*a(n-3) -102*a(n-4) -38*a(n-5) +337*a(n-6) +39*a(n-7) -2538*a(n-8) -1048*a(n-9) +9220*a(n-10) +3898*a(n-11) -10078*a(n-12) +719*a(n-13) +55039*a(n-14) +28538*a(n-15) -139480*a(n-16) -52428*a(n-17) -19106*a(n-18) -17134*a(n-19) -99749*a(n-20) -71330*a(n-21) +298006*a(n-22) +77280*a(n-23) +114868*a(n-24) +14464*a(n-25) +78816*a(n-26) +80368*a(n-27) -280704*a(n-28) -11136*a(n-29) -107712*a(n-30) -5568*a(n-31) -33408*a(n-32) -31104*a(n-33) +93312*a(n-34) -13824*a(n-35) +41472*a(n-36)
%e A264485 Some solutions for n=4
%e A264485 ..8..4..5....3..4..5....8..4..5....3..2..5....8..4..5....8..4..5....3..4..5
%e A264485 ..0..1..2....6..1..2....0..7..2....6..7..8....6..1..2....0..7..2....0..1..2
%e A264485 ..9.10.11...14..0.11....9.10..1...14..0..1....9..0.11....3.10..1...14.10.11
%e A264485 .12..3.14...12.13..8...12..3.14...12.13..4...12..3.14...12.13.14...12.13..8
%e A264485 .13..6..7....9.10..7...13..6.11....9.10.11...13.10..7....9..6.11....9..6..7
%Y A264485 Cf. A264490.
%K A264485 nonn
%O A264485 1,3
%A A264485 _R. H. Hardin_, Nov 14 2015