%I #5 Mar 31 2012 12:36:34
%S 1,14,185,3904,98330,3003238,102181788,3756159287,143881181753,
%T 5646945550174,224449531632679,8983735573661052,360899833600169940,
%U 14527041510634994082,585360583605415473815,23600147044273485824546
%N Number of nX3 0..5 arrays with values 0..5 introduced in row major order and each element equal to at least one horizontal or vertical neighbor
%C Column 3 of A198627
%H R. H. Hardin, <a href="/A198622/b198622.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 56*a(n-1) -242*a(n-2) -19881*a(n-3) +120902*a(n-4) +2112477*a(n-5) -6256525*a(n-6) -101767298*a(n-7) -5468008*a(n-8) +2257760921*a(n-9) +5511348504*a(n-10) -17561720854*a(n-11) -103692545247*a(n-12) -60746908311*a(n-13) +712406449678*a(n-14) +1810526971885*a(n-15) -935776136224*a(n-16) -11174744312766*a(n-17) -14176630199333*a(n-18) +23636831875616*a(n-19) +88324427447726*a(n-20) +49461877521458*a(n-21) -194580674524516*a(n-22) -394749803665092*a(n-23) -43750123538823*a(n-24) +834612247143814*a(n-25) +1120498973762742*a(n-26) -260260207784843*a(n-27) -2332700905156438*a(n-28) -2195467410288443*a(n-29) +1363858632829917*a(n-30) +5047559929957346*a(n-31) +3496200778786576*a(n-32) -3866700158460727*a(n-33) -8482902906392220*a(n-34) -3615459462374434*a(n-35) +6702588538914563*a(n-36) +10398070155253321*a(n-37) +822587148343118*a(n-38) -8696663320634001*a(n-39) -6092253427570816*a(n-40) +1959554757727956*a(n-41) +6051088905373429*a(n-42) +994119275897256*a(n-43) -2259128912126806*a(n-44) -1053519679785884*a(n-45) +136416475608456*a(n-46) +571399798005636*a(n-47) -182004404229116*a(n-48) -12355456901400*a(n-49) +86305990184544*a(n-50) -45657449449760*a(n-51) +6952728447120*a(n-52) -1117686283968*a(n-53) -26923343040*a(n-54)
%e Some solutions for n=4
%e ..0..0..1....0..0..0....0..0..1....0..1..1....0..1..1....0..1..1....0..0..0
%e ..0..2..1....0..1..1....2..2..1....0..0..1....0..0..2....0..2..2....0..0..1
%e ..2..2..1....2..3..3....3..2..2....0..1..1....3..3..2....3..3..4....0..0..1
%e ..1..1..1....2..2..3....3..4..4....1..1..1....3..1..1....3..3..4....0..1..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 27 2011