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A264056 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 2,-2.

%I A264056 #8 Apr 22 2021 14:03:42
%S A264056 8,216,2592,32400,450000,5760000,74880000,988650000,12899250000,
%T A264056 168682500000,2210850000000,28926562500000,378597656250000,
%U A264056 4956813281250000,64881000000000000,849285000000000000
%N A264056 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 2,-2.
%C A264056 Column 4 of A264059.
%H A264056 R. H. Hardin, <a href="/A264056/b264056.txt">Table of n, a(n) for n = 1..210</a>
%F A264056 Empirical: a(n) = 15*a(n-1) -25*a(n-2) +375*a(n-3) -5625*a(n-4) +9375*a(n-5) -15625*a(n-6) +234375*a(n-7) -390625*a(n-8) for n > 10.
%e A264056 Some solutions for n=4
%e A264056 ..0..8.10.11..4....0..8..2.11.12....0..1.10..3.12....0..1..2..3..4
%e A264056 ..5..6..7..1..2....5..6..7..1..9....5.13.15.16..9....5..6..7.16..9
%e A264056 .17..3.19.21.14...10..3..4.21.14....2.18..4..6..7...10.11.20.21.14
%e A264056 .15.16..9.18.12...22.16.24.18.19...22..8.24.11.19...22..8.17.18.19
%e A264056 .20.13.22.23.24...20.13.15.23.17...20.21.14.23.17...12.13.15.23.24
%Y A264056 Cf. A264059.
%K A264056 nonn
%O A264056 1,1
%A A264056 _R. H. Hardin_, Nov 02 2015