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%I #4 Dec 19 2013 18:01:27
%S 2413,47933,951709,19007583,380250439,7615879723,152668773739,
%T 3062622875925,61475337004953,1234620917271949,24806175566692573,
%U 498600733683615435,10025142990290536251,201629391376355775879
%N Number of (n+1)X(3+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
%C Column 3 of A234131
%H R. H. Hardin, <a href="/A234126/b234126.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 62*a(n-1) -1377*a(n-2) +11706*a(n-3) +3232*a(n-4) -539522*a(n-5) +1362867*a(n-6) +10121999*a(n-7) -31760118*a(n-8) -116725179*a(n-9) +307724737*a(n-10) +923620665*a(n-11) -1359253203*a(n-12) -4570974318*a(n-13) +1827227267*a(n-14) +11806964282*a(n-15) +3166332198*a(n-16) -13354128233*a(n-17) -8963914586*a(n-18) +4581307330*a(n-19) +4739020728*a(n-20) -551989326*a(n-21) -1042026878*a(n-22) +26127344*a(n-23) +107962116*a(n-24) -4177212*a(n-25) -4538160*a(n-26) +475200*a(n-27)
%e Some solutions for n=2
%e ..5..5..6..5....2..2..1..1....4..5..4..3....2..2..3..3....1..1..2..1
%e ..5..5..6..6....2..1..2..1....4..5..4..4....3..2..2..3....2..1..2..1
%e ..5..6..6..6....1..1..2..1....4..5..5..5....2..3..2..2....1..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2013
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