%I #5 Mar 31 2012 12:36:56
%S 8748,323852,12301020,471988172,18189909480,702420750924,
%T 27149753088792,1049837466171436,40603753889665632,
%U 1570549319417597656,60751409051086135560,2350012855527394133452,90905131505907584858388
%N Number of (n+1)X8 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
%C Column 7 of A203378
%H R. H. Hardin, <a href="/A203377/b203377.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 105*a(n-1) -4473*a(n-2) +105654*a(n-3) -1580037*a(n-4) +16082595*a(n-5) -116408090*a(n-6) +616031475*a(n-7) -2425718097*a(n-8) +7181467374*a(n-9) -16063429749*a(n-10) +27150592284*a(n-11) -34525830041*a(n-12) +32730104655*a(n-13) -22785383754*a(n-14) +11380763892*a(n-15) -3932260752*a(n-16) +884206944*a(n-17) -115250048*a(n-18) +6527616*a(n-19)
%e Some solutions for n=4
%e ..1..1..1..1..0..0..1..1....0..0..1..0..0..0..1..0....1..0..1..0..1..1..1..1
%e ..1..1..0..1..1..0..0..1....1..0..0..1..0..0..0..1....0..1..0..1..0..1..0..1
%e ..1..1..1..0..1..1..0..0....0..1..0..0..1..0..1..1....0..0..1..0..0..0..1..0
%e ..0..1..1..1..1..0..1..0....0..0..1..0..0..0..0..1....0..0..0..1..0..0..0..0
%e ..0..0..1..1..0..1..0..0....1..0..0..1..0..1..0..0....0..1..0..0..0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 31 2011
|