# Greetings from The On-Line Encyclopedia of Integer Sequences! https://backiee.wasmer.app/https_oeis_org/ Search: id:a251500 Showing 1-1 of 1 %I A251500 #9 Nov 29 2018 15:41:06 %S A251500 226,3250,46684,670690,9635410,138426508,1988695378,28570462642, %T A251500 410455690300,5896784936386,84715776652690,1217063686620268, %U A251500 17484866170347826,251195190815325682,3608779345177708828 %N A251500 Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock summing to 3 4 5 6 7 8 or 9. %H A251500 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A251500 Empirical: a(n) = 13*a(n-1) + 21*a(n-2) - 18*a(n-3) - 24*a(n-4). %F A251500 Empirical g.f.: 2*x*(113 + 156*x - 156*x^2 - 192*x^3) / (1 - 13*x - 21*x^2 + 18*x^3 + 24*x^4). - _Colin Barker_, Nov 29 2018 %e A251500 Some solutions for n=3: %e A251500 ..0..0....2..3....3..1....2..2....2..1....2..3....0..3....2..0....0..3....3..0 %e A251500 ..3..0....2..0....2..1....0..3....0..3....2..1....1..3....0..1....0..0....0..0 %e A251500 ..1..3....3..0....1..1....3..3....3..0....1..3....2..0....0..3....3..3....1..3 %e A251500 ..1..1....1..1....3..2....1..1....2..0....0..0....2..0....1..3....1..1....1..0 %Y A251500 Column 1 of A251507. %K A251500 nonn %O A251500 1,1 %A A251500 _R. H. Hardin_, Dec 03 2014 # Content is available under The OEIS End-User License Agreement: https://backiee.wasmer.app/https_oeis_org/LICENSE