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%I #4 Dec 20 2013 07:30:57
%S 5446,208530,7952532,305867942,11788446834,454899880956,
%T 17566272589090,678657896630666,26228432144965180,1013926534125410910,
%U 39203657407973012450,1516046883452164086780,58633986736678853197346
%N Number of (n+1)X(4+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
%C Column 4 of A234161
%H R. H. Hardin, <a href="/A234157/b234157.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 90*a(n-1) -2653*a(n-2) +24943*a(n-3) +89825*a(n-4) -2218609*a(n-5) +1432019*a(n-6) +71490923*a(n-7) -78048525*a(n-8) -1164227315*a(n-9) +761044775*a(n-10) +9924372783*a(n-11) -667076603*a(n-12) -41948446347*a(n-13) -15809876567*a(n-14) +78900501505*a(n-15) +41327430666*a(n-16) -75139994803*a(n-17) -37071907734*a(n-18) +40119015622*a(n-19) +12686351262*a(n-20) -12371945864*a(n-21) -754232304*a(n-22) +1729058752*a(n-23) -288379744*a(n-24) -6642240*a(n-25) +2957184*a(n-26)
%e Some solutions for n=1
%e ..2..3..2..2..3....2..2..2..1..0....2..2..1..2..2....0..1..2..1..1
%e ..2..3..3..2..2....1..1..1..1..1....2..2..1..1..2....1..1..2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2013
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