cp's OEIS Frontend

A241323 Number of nX2 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.

%I A241323 #7 Jul 23 2025 11:12:01
%S A241323 1,8,85,1030,13011,165924,2121033,27129985,347071157,4440219758,
%T A241323 56806066313,726751710350,9297746189765,118951351657555,
%U A241323 1521812314158867,19469410910818078,249083253366686135,3186663809907191548
%N A241323 Number of nX2 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.
%C A241323 Column 2 of A241328
%H A241323 R. H. Hardin, <a href="/A241323/b241323.txt">Table of n, a(n) for n = 1..210</a>
%F A241323 Empirical: a(n) = 17*a(n-1) -57*a(n-2) +43*a(n-3) -37*a(n-4) +109*a(n-5) -62*a(n-6) -48*a(n-8) +36*a(n-9) for n>10
%e A241323 Some solutions for n=4
%e A241323 ..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
%e A241323 ..0..2....2..1....2..2....1..1....2..3....0..2....2..1....2..1....2..1....1..1
%e A241323 ..1..0....1..3....2..2....1..1....3..1....2..3....3..0....0..3....2..1....1..2
%e A241323 ..3..0....1..2....0..2....1..2....2..1....0..2....2..3....0..3....2..3....0..2
%K A241323 nonn
%O A241323 1,2
%A A241323 _R. H. Hardin_, Apr 19 2014