|
%I #5 Mar 31 2012 12:36:04
%S 630,11610,215880,4004914,74358926,1380412312,25625942242,
%T 475728999902,8831529274288,163950562398426,3043616539513970,
%U 56502397501376376,1048923589807240594,19472460036409387670,361491250199327640676
%N Number of (n+1)X3 0..2 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum
%C Column 2 of A185856
%H R. H. Hardin, <a href="/A185849/b185849.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=8*a(n-1)+106*a(n-2)+1154*a(n-3)+7341*a(n-4)+38354*a(n-5)+75897*a(n-6)+26908*a(n-7)+363811*a(n-8)-971504*a(n-9)-6880482*a(n-10)-1595117*a(n-11)+13890723*a(n-12)-50693559*a(n-13)-54673009*a(n-14)+185578667*a(n-15)-214035759*a(n-16)-910901251*a(n-17)+1570495381*a(n-18)+2337237818*a(n-19)-6890840995*a(n-20)-7626185862*a(n-21)+18279944018*a(n-22)+20105596552*a(n-23)-48993202848*a(n-24)-29327197968*a(n-25)+67685629696*a(n-26)+13126132416*a(n-27)-29811833984*a(n-28)-9414272512*a(n-29)-22788287488*a(n-30)+12806834176*a(n-31)+16026865664*a(n-32)-6554771456*a(n-33)-1887731712*a(n-34)+627769344*a(n-35)+55836672*a(n-36)
%e Some solutions for 5X3
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..0..0..1....1..0..0....0..0..1....0..2..0....0..0..1....1..0..0....2..0..1
%e ..2..1..0....2..2..1....1..2..0....0..2..1....0..2..0....2..1..0....0..1..1
%e ..1..2..0....0..2..2....2..1..2....1..0..1....2..2..2....2..0..2....0..0..1
%e ..1..2..2....1..1..0....0..0..0....2..2..2....0..2..2....1..2..2....1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 05 2011
| 