# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a234736 Showing 1-1 of 1 %I A234736 #6 Jun 20 2022 00:37:30 %S A234736 119904,233016,423072,972888,2072256,5395128,13083552,37239960, %T A234736 99668544,302942136,872803872,2789946648,8503198656,28292814648, %U A234736 90149814432,309941744280,1023953849664,3617288003256,12314264477472,44498943619608 %N A234736 Number of (n+1) X (6+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings). %H A234736 R. H. Hardin, Table of n, a(n) for n = 1..28 %F A234736 Empirical: a(n) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23). %e A234736 Some solutions for n=1: %e A234736 4 6 5 7 1 6 5 7 2 5 2 7 0 5 5 7 2 7 3 7 2 %e A234736 6 0 7 1 3 0 7 4 7 2 7 4 5 2 6 0 3 0 4 0 3 %Y A234736 Column 6 of A234738. %K A234736 nonn %O A234736 1,1 %A A234736 _R. H. Hardin_, Dec 30 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE