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A251277
Number of (n+1) X (2+1) 0..3 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.
1
3264, 164800, 8320896, 420152704, 21215177472, 1071238805248, 54091113672192, 2731275752121856, 137912990258285568, 6963776128082148352, 351628790523862185984, 17755138024422940530688, 896527630165476145606656
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 54*a(n-1) - 182*a(n-2) + 228*a(n-3) + 1152*a(n-4).
Empirical g.f.: 64*x*(51 - 179*x + 246*x^2 + 1152*x^3) / (1 - 54*x + 182*x^2 - 228*x^3 - 1152*x^4). - Colin Barker, Nov 27 2018
EXAMPLE
Some solutions for n=2:
..0..0..2....3..0..0....1..3..2....1..2..0....1..3..0....1..1..3....1..3..0
..1..2..3....3..1..1....0..2..2....2..3..2....0..0..1....0..1..1....0..0..2
..0..0..3....3..0..3....0..1..3....3..3..2....2..1..2....2..1..0....2..3..3
CROSSREFS
Column 2 of A251283.
Sequence in context: A253857 A358870 A337792 * A328148 A286008 A220594
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 01 2014
STATUS
approved