A237458 - OEIS

%I #4 Feb 08 2014 05:54:15

%S 1144,5938,27915,125998,578435,2683716,12536462,57585440,267621076,

%T 1237416868,5770921094,26593601924,123810488360,571558604608,

%U 2663437654276,12284087723608,57216490431308,264018609435988

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

%C Column 3 of A237463

%H R. H. Hardin, <a href="/A237458/b237458.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 470*a(n-4) +2419*a(n-6) -48549*a(n-8) -277524*a(n-10) +2224806*a(n-12) +11809802*a(n-14) -46106374*a(n-16) -217503741*a(n-18) +147268499*a(n-20) +1404157520*a(n-22) +5662879218*a(n-24) +24972218680*a(n-26) -44726237428*a(n-28) -519289513864*a(n-30) -615130724771*a(n-32) +2725302787960*a(n-34) +9039131080340*a(n-36) +6927008664548*a(n-38) -19127697900008*a(n-40) -70018423548104*a(n-42) -107852744211760*a(n-44) -64689865402880*a(n-46) +71110203031424*a(n-48) +220819583526400*a(n-50) +297113956207104*a(n-52) +260890297806336*a(n-54) +156820155511808*a(n-56) +72474393059328*a(n-58) +28320397787136*a(n-60) +7383888560128*a(n-62) +1397778546688*a(n-64) +537880690688*a(n-66) +125204168704*a(n-68) +5955911680*a(n-70) for n>73

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2014