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A264192 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 2,1.

%I A264192 #6 Nov 10 2015 11:10:52
%S A264192 36,864,20736,395280,7535025,150305220,2998219536,59481442800,
%T A264192 1180047690000,23367447097200,462725013969936,9164960558748720,
%U A264192 181525743168224400,3595660883206991280,71222830224380145936
%N A264192 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 2,1.
%C A264192 Column 4 of A264195.
%H A264192 R. H. Hardin, <a href="/A264192/b264192.txt">Table of n, a(n) for n = 1..210</a>
%F A264192 Empirical: a(n) = 19*a(n-1) +16*a(n-2) -6032*a(n-4) +114608*a(n-5) +96512*a(n-6) +1544192*a(n-8) -29339648*a(n-9) -24707072*a(n-10) +16777216*a(n-12) -318767104*a(n-13) -268435456*a(n-14) for n>16
%e A264192 Some solutions for n=3
%e A264192 .11..3.13..1..4....0..1..2..3..4....0..1..2.14..4....2..1..0..3..4
%e A264192 ..5..6.18..8..9....5.17..9..8..7....5..8.18..6..9....5.17..7..6..9
%e A264192 .12..0.10..2.14...12.11.10.13.14...12.11.10.13..3...12.13.10.11.14
%e A264192 .15.16.19..7.17...15.16..6.18.19...15.16.19..7.17...15.18.19.16..8
%Y A264192 Cf. A264195.
%K A264192 nonn
%O A264192 1,1
%A A264192 _R. H. Hardin_, Nov 07 2015