A237319 - OEIS

%I #4 Feb 06 2014 06:15:29

%S 1508,12756,107572,949596,8219232,69761476,591728030,5221400304,

%T 45243325970,385224702840,3278469369768,28912413134488,

%U 250838050990430,2142369322671848,18290968147649740,161215992846170104

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

%C Column 3 of A237324

%H R. H. Hardin, <a href="/A237319/b237319.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11007*a(n-4) -30511165*a(n-8) +2416368893*a(n-12) -38181989668*a(n-16) +148755328110*a(n-20) +281773663032*a(n-24) +100862271352*a(n-28) +2907602208*a(n-32) for n>35

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 06 2014