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A233070 Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order.

%I A233070 #6 Jul 23 2025 07:51:02
%S A233070 41,1682,80811,3957778,194998895,9622519979,475027244071,
%T A233070 23452561697310,1157902539075279,57168401542703366,
%U A233070 2822543431496611477,139355894459526629065,6880342889895213536639,339699437967530482926608
%N A233070 Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order.
%C A233070 Column 5 of A233073
%H A233070 R. H. Hardin, <a href="/A233070/b233070.txt">Table of n, a(n) for n = 1..210</a>
%F A233070 Empirical: a(n) = 67*a(n-1) -957*a(n-2) +4487*a(n-3) -10440*a(n-4) +9842*a(n-5) +34671*a(n-6) -145789*a(n-7) +111684*a(n-8) +296032*a(n-9) -481473*a(n-10) -167907*a(n-11) +608240*a(n-12) -12730*a(n-13) -416027*a(n-14) +59065*a(n-15) +178117*a(n-16) -40627*a(n-17) -41054*a(n-18) +13432*a(n-19) +2184*a(n-20) -816*a(n-21) for n>23
%e A233070 Some solutions for n=3
%e A233070 ..0..0..1..1..0....0..1..1..3..3....0..1..0..1..1....0..0..0..1..0
%e A233070 ..1..1..3..1..0....0..1..1..1..3....1..1..1..1..3....0..0..0..0..1
%e A233070 ..1..1..3..1..0....1..3..3..1..3....0..1..1..1..1....0..0..1..1..3
%K A233070 nonn
%O A233070 1,1
%A A233070 _R. H. Hardin_, Dec 03 2013