A203731 - OEIS

%I #5 Mar 31 2012 12:36:58

%S 3240000,681461824,161916229056,39986164706496,9889622728751424,

%T 2456635775400515136,609221928288391040960,151272719849511664491200,

%U 37533436386104374598910784,9317206985567286352629497920

%N Number of (n+1)X5 0..7 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 4 of A203732

%H R. H. Hardin, <a href="/A203731/b203731.txt">Table of n, a(n) for n = 1..19</a>

%F Empirical: a(n) = 141*a(n-1) +34391*a(n-2) -1914087*a(n-3) -5360404*a(n-4) +185626112*a(n-5) +226020536*a(n-6) -801895584*a(n-7)

%e Some solutions for n=4

%e ..3..6..2..5..1....1..1..7..7..0....1..2..4..2..6....3..1..0..0..5

%e ..3..3..6..2..5....3..1..1..7..7....1..1..2..6..2....1..1..1..0..0

%e ..7..3..3..6..2....5..3..1..1..7....0..1..1..2..0....7..1..7..1..0

%e ..2..7..3..3..6....2..5..3..1..1....1..2..1..1..2....4..7..7..7..1

%e ..0..2..7..3..3....6..2..5..3..1....5..1..1..7..1....1..4..7..0..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012