# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a253362 Showing 1-1 of 1 %I A253362 #7 Dec 11 2018 08:43:23 %S A253362 560,960,2992,5280,13800,27072,63496,130464,297288,612480,1410760, %T A253362 2875104,6716232,13589568,31922056,64500000,151450440,306332928, %U A253362 718070344,1453854816,3404870472,6895922880,16148448520,32703297696 %N A253362 Number of (n+2) X (3+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. %H A253362 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A253362 Empirical: a(n) = 7*a(n-2) - 15*a(n-4) + 17*a(n-6) + 16*a(n-8) for n>11. %F A253362 Empirical g.f.: 8*x*(70 + 120*x - 116*x^2 - 180*x^3 + 157*x^4 + 564*x^5 + 282*x^6 + 480*x^7 - x^8 + 24*x^9 - 36*x^10) / (1 - 7*x^2 + 15*x^4 - 17*x^6 - 16*x^8). - _Colin Barker_, Dec 11 2018 %e A253362 Some solutions for n=4: %e A253362 ..0..0..0..0..0....1..0..0..0..0....1..0..0..0..1....0..1..0..1..0 %e A253362 ..0..1..0..1..0....0..1..0..1..0....0..1..0..1..0....1..0..0..0..0 %e A253362 ..1..0..1..0..0....1..0..0..0..0....1..0..0..0..0....0..1..0..1..0 %e A253362 ..0..0..0..0..0....0..1..0..1..0....0..0..0..1..0....1..0..0..0..1 %e A253362 ..1..0..1..0..1....0..0..0..0..0....1..0..1..0..1....0..1..0..1..0 %e A253362 ..1..1..0..1..0....0..1..0..1..0....0..0..0..1..0....0..0..0..0..1 %Y A253362 Column 3 of A253367. %K A253362 nonn %O A253362 1,1 %A A253362 _R. H. Hardin_, Dec 30 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE