login
Number of nX5 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor
1

%I #4 Jan 01 2013 08:40:21

%S 8,1155,154440,20489472,2714713664,359601021696,47632473997312,

%T 6309330479063040,835724490894491648,110698808144126017536,

%U 14662997339235235397632,1942238532303972543234048

%N Number of nX5 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor

%C Column 5 of A221087

%H R. H. Hardin, <a href="/A221084/b221084.txt">Table of n, a(n) for n = 1..30</a>

%F Empirical: a(n) = 192*a(n-1) -9248*a(n-2) +195456*a(n-3) -2093824*a(n-4) +11781120*a(n-5) -34549760*a(n-6) +52838400*a(n-7) -40501248*a(n-8) +13369344*a(n-9) -1048576*a(n-10)

%e Some solutions for n=3

%e ..0..1..3..1..0....0..1..2..0..1....0..2..1..1..0....0..2..3..1..0

%e ..0..1..1..4..1....0..3..0..3..2....1..2..1..3..1....0..3..0..1..1

%e ..1..1..0..1..0....1..0..0..2..0....1..0..0..1..1....0..1..2..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 01 2013