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A264338 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,1 or 1,2.

%I A264338 #8 Jan 07 2019 12:42:57
%S A264338 676,28925,1243225,53429620,2296230561,98684484373,4241136597604,
%T A264338 182270189212469,7833376999538689,336652940790951028,
%U A264338 14468243077011355641,621797799370697341405,26722837129862974324900
%N A264338 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,1 or 1,2.
%H A264338 R. H. Hardin, <a href="/A264338/b264338.txt">Table of n, a(n) for n = 1..210</a>
%F A264338 Empirical: a(n) = 43*a(n-1) - 43*a(n-3) + a(n-4).
%F A264338 Empirical g.f.: x*(676 - 143*x - 550*x^2 + 13*x^3) / ((1 - x)*(1 + x)*(1 - 43*x + x^2)). - _Colin Barker_, Jan 07 2019
%e A264338 Some solutions for n=2:
%e A264338 ..8..2..1..3..4..5....0..2..1..4..3..5....0..9..2..4..3..5....0..1.10..3..5..4
%e A264338 ..6..7..0.17.11.10...14.15..7.10..9.11....6..8..7..1.11.10....7..6..9..8..2.11
%e A264338 .12.14.13.16.15..9...12.13..6.16..8.17...12.13.14.16.15.17...12.14.13.15.17.16
%Y A264338 Column 5 of A264341.
%K A264338 nonn
%O A264338 1,1
%A A264338 _R. H. Hardin_, Nov 11 2015