%I #6 Jun 09 2023 21:36:57
%S 1543,30263,591711,11637549,229271097,4522455227,89286112307,
%T 1763973731193,34868594406281,689542829566223,13640600287798095,
%U 269910850141570569,5341921598774700885,105741580472088580363
%N Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.
%C Column 3 of A234036.
%H R. H. Hardin, <a href="/A234031/b234031.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 41*a(n-1) -473*a(n-2) +378*a(n-3) +15090*a(n-4) -24456*a(n-5) -191256*a(n-6) +160111*a(n-7) +1124270*a(n-8) +180876*a(n-9) -2156866*a(n-10) -1359614*a(n-11) +738304*a(n-12) +501820*a(n-13) -106672*a(n-14) -46728*a(n-15) +7920*a(n-16).
%e Some solutions for n=2
%e ..3..2..3..3....1..2..2..3....2..2..2..1....4..4..3..2....0..1..2..1
%e ..2..2..2..3....1..2..2..2....2..1..2..1....4..3..3..2....1..1..1..2
%e ..3..2..3..3....1..1..2..1....1..1..2..1....3..4..3..2....0..1..2..1
%Y Cf. A234036.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 18 2013
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