%I #4 Feb 08 2014 05:53:36
%S 308,1376,5938,25974,113324,496942,2183186,9577336,41971324,184102474,
%T 807827730,3543250384,15538743130,68158488618,298985438448,
%U 1311406306956,5751938471714,25229703215602,110665842504412,485405880082358
%N Number of (n+1)X(2+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 2 of A237463
%H R. H. Hardin, <a href="/A237457/b237457.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 34*a(n-3) +172*a(n-4) +254*a(n-5) +282*a(n-6) -973*a(n-7) -4066*a(n-8) -3238*a(n-9) +3634*a(n-10) +13908*a(n-11) +5602*a(n-12) -22988*a(n-13) -3264*a(n-14) +22488*a(n-15) -7392*a(n-16) -13696*a(n-17) +4608*a(n-18) +4096*a(n-19)
%e Some solutions for n=5
%e ..1..1..2....1..2..1....1..1..2....2..1..1....1..2..2....1..2..1....1..1..1
%e ..0..0..0....0..2..2....1..0..2....1..0..1....0..2..1....0..0..2....2..1..1
%e ..2..1..1....0..1..1....2..2..2....0..2..2....0..1..1....1..1..0....0..0..0
%e ..1..1..0....1..0..1....2..1..1....1..2..1....0..1..1....0..1..2....1..0..2
%e ..0..1..2....2..0..1....1..1..0....0..0..2....1..1..2....2..2..2....0..2..1
%e ..2..2..2....1..1..1....0..1..2....1..0..2....0..2..2....2..1..0....1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2014