A237922 - OEIS

%I #5 Feb 15 2014 18:00:07

%S 256,1632,10316,66512,431640,2776536,17920936,115383848,745952272,

%T 4801239096,31023158644,199699207808,1290589180896,8307345571648,

%U 53684274618860,345562572268528,2233164262251368,14374690362585720

%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 1 of A237927

%H R. H. Hardin, <a href="/A237922/b237922.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1181*a(n-4) +22032*a(n-6) +73432*a(n-8) -1336476*a(n-10) -12277371*a(n-12) -12126056*a(n-14) +265052455*a(n-16) +1326988676*a(n-18) +2166031440*a(n-20) -838485120*a(n-22) -6967321344*a(n-24) -7539800064*a(n-26) -1875689472*a(n-28) +700055552*a(n-30)

%e Some solutions for n=4

%e ..1..1....1..2....2..2....3..3....0..0....1..3....1..2....2..0....2..0....0..3

%e ..2..3....1..1....1..0....1..1....0..2....0..3....1..2....2..3....0..0....3..1

%e ..2..1....1..0....2..3....1..2....1..1....0..2....3..0....1..1....3..3....2..2

%e ..1..3....1..2....0..0....1..3....0..3....1..0....2..0....0..2....1..0....1..2

%e ..2..2....2..2....2..2....2..2....1..0....2..2....0..2....2..0....1..2....1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 15 2014