%I #5 Mar 31 2012 12:37:24

%S 24,852,32446,1228712,46570746,1765095958,66895521620,2535385682540,

%T 96090671377460,3641860403515944,138026667528442772,

%U 5231230308516496590,198264125831713156768,7514233650312494547412,284790257662221219330506

%N Number of nX4 0..2 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it

%C Column 4 of A208796

%H R. H. Hardin, <a href="/A208792/b208792.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +956*a(n-2) +8116*a(n-3) -40512*a(n-4) -508529*a(n-5) +925122*a(n-6) +14114948*a(n-7) -20448852*a(n-8) -220058315*a(n-9) +401914851*a(n-10) +1906773275*a(n-11) -4950453129*a(n-12) -7313476656*a(n-13) +31918502796*a(n-14) -3147668260*a(n-15) -91925903012*a(n-16) +89409384292*a(n-17) +77843854208*a(n-18) -153101767368*a(n-19) +6746244064*a(n-20) +99592150048*a(n-21) -31506449152*a(n-22) -33269876160*a(n-23) +14592830912*a(n-24) +6475837824*a(n-25) -3045426816*a(n-26) -706375168*a(n-27) +265395200*a(n-28) +48830464*a(n-29) -6946816*a(n-30) -1179648*a(n-31)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 01 2012