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A241105 Number of nX5 0..2 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..2 introduced in row major order.

%I A241105 #6 Jul 23 2025 11:09:16
%S A241105 8,116,1522,19814,259388,3374086,44030862,574246744,7489718098,
%T A241105 97685897406,1274061880332,16617079770494,216729255718838,
%U A241105 2826706576812536,36867513064014682,480847045785788134
%N A241105 Number of nX5 0..2 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..2 introduced in row major order.
%C A241105 Column 5 of A241108
%H A241105 R. H. Hardin, <a href="/A241105/b241105.txt">Table of n, a(n) for n = 1..210</a>
%F A241105 Empirical: a(n) = 14*a(n-1) +2*a(n-2) -175*a(n-3) -54*a(n-4) +1648*a(n-5) -42588*a(n-6) -24344*a(n-7) +167248*a(n-8) +247904*a(n-9) -88832*a(n-10) +33429248*a(n-11) +48635904*a(n-12) +27281408*a(n-13) -32276480*a(n-14) -600080384*a(n-15) -9134145536*a(n-16) -11089739776*a(n-17) -2071986176*a(n-18) +11282677760*a(n-19) +94019518464*a(n-20) +716320014336*a(n-21) +518617300992*a(n-22) +438086664192*a(n-23) +618475290624*a(n-24) -6597069766656*a(n-25) -17592186044416*a(n-26)
%e A241105 Some solutions for n=4
%e A241105 ..0..1..0..2..1....0..1..2..2..0....0..1..0..2..1....0..1..2..1..2
%e A241105 ..1..0..1..0..0....1..0..2..2..2....2..0..2..0..2....2..0..1..2..0
%e A241105 ..2..1..2..0..0....0..2..0..2..2....0..2..0..2..0....0..1..2..1..2
%e A241105 ..1..2..0..2..1....1..0..2..0..1....1..0..1..0..1....1..2..1..0..1
%K A241105 nonn
%O A241105 1,1
%A A241105 _R. H. Hardin_, Apr 16 2014