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A264492 Number of (4+1) X (n+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.

%I A264492 #10 Jan 08 2019 08:19:29
%S A264492 12,16,212,788,4772,23076,122628,626276,3250500,16761124,86652932,
%T A264492 447525860,2312212676,11944531620,61707373956,318782647652,
%U A264492 1646858513988,8507781990436,43951835558660,227058335082212,1172999888706500
%N A264492 Number of (4+1) X (n+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.
%H A264492 R. H. Hardin, <a href="/A264492/b264492.txt">Table of n, a(n) for n = 1..210</a>
%F A264492 Empirical: a(n) = a(n-1) + 16*a(n-2) + 24*a(n-3) + 16*a(n-4) + 32*a(n-5) + 32*a(n-6).
%F A264492 Empirical g.f.: 4*x*(3 + x + x^2 + 8*x^3 + 4*x^4 - 8*x^5) / ((1 + 2*x)*(1 - 3*x - 10*x^2 - 4*x^3 - 8*x^4 - 16*x^5)). - _Colin Barker_, Jan 08 2019
%e A264492 Some solutions for n=4:
%e A264492 ..5..2..7..4..9....1..6.14..8..9....1..6..7..8..9....1..6..7..8..9
%e A264492 ..0..1.12.13.14...10.11..2.13..4...10.11..2.13..4...10.18..2.13..4
%e A264492 .22.16.17..8..3....5..0.17.18..3....5..0.24.18..3...15..0.17.14..3
%e A264492 .20.21..6.23.24...20.21.22..7.24...20.21.22.23.14...20..5.22.23.24
%e A264492 .15.10.11.18.19...15.16.23.12.19...15.16.17.12.19...21.16.11.12.19
%Y A264492 Row 4 of A264490.
%K A264492 nonn
%O A264492 1,1
%A A264492 _R. H. Hardin_, Nov 14 2015