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Number of (n+1)X(6+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 02 2014 07:18:19

%S 144000,4618944,145732608,5454273024,192222720000,6552043167744,

%T 219711187058688,8794294803431424,328343912644608000,

%U 11858362885859180544,422546063726758330368,17667796844559753805824

%N Number of (n+1)X(6+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 6 of A236997

%H R. H. Hardin, <a href="/A236995/b236995.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +6977664*a(n-4) -167463936*a(n-5) -16797664935936*a(n-8) +403143958462464*a(n-9) +16582288439072784384*a(n-12) -397974922537746825216*a(n-13) -5610108723948059923316736*a(n-16) +134642609374753438159601664*a(n-17)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2014