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A264138 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

%I A264138 #7 Nov 10 2015 11:15:06
%S A264138 45,720,15488,297920,5953600,117534144,2330885440,46152976320,
%T A264138 914311870272,18109587264960,358715709133120,7105316641612736,
%U A264138 140740716602145600,2787757236154376640,55219250117210191168
%N A264138 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.
%C A264138 Column 4 of A264142.
%H A264138 R. H. Hardin, <a href="/A264138/b264138.txt">Table of n, a(n) for n = 1..210</a>
%F A264138 Empirical: a(n) = 19*a(n-1) +16*a(n-2) -304*a(n-3) +5776*a(n-4) +4864*a(n-5) +4096*a(n-6) -77824*a(n-7) -65536*a(n-8)
%e A264138 Some solutions for n=3
%e A264138 ..0..1..8..3..4....0..1..5..6..4....0..1..8..6..4....0..1..5..3..4
%e A264138 .11..6..7..2.12....2..3.13..8..9....2.12.13.14..3...11..6.13..2.12
%e A264138 .10..5..9.16.14...10.11.15..7.14....7..5..9.16.17...16..8..9..7.14
%e A264138 .15.13.17.18.19...12.16.17.18.19...15.10.11.18.19...15.10.17.18.19
%Y A264138 Cf. A264142.
%K A264138 nonn
%O A264138 1,1
%A A264138 _R. H. Hardin_, Nov 04 2015