A237786 - OEIS

%I #5 Feb 13 2014 06:42:01

%S 256,1902,14369,108626,822482,6206506,46951577,354492388,2682430004,

%T 20249512232,153214659580,1156665099968,8751938508392,66070136649952,

%U 499917695693080,3773995527721904,28555890125652136,215574798983581408

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

%C Column 1 of A237791

%H R. H. Hardin, <a href="/A237786/b237786.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2044*a(n-4) +57712*a(n-6) +627304*a(n-8) +2916648*a(n-10) +5816832*a(n-12) +11824576*a(n-14) +34380288*a(n-16) +53691776*a(n-18) +42450944*a(n-20) +56373760*a(n-22) +52514816*a(n-24) +67936256*a(n-26) +35323904*a(n-28) +5242880*a(n-30)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2014