cp's OEIS Frontend

A241134 Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

%I A241134 #6 Jul 23 2025 11:11:26
%S A241134 1,5,24,152,935,6150,40504,269481,1797120,12006500,80271767,536871242,
%T A241134 3591277652,24025055521,160729893196,1075318230432,7194178531255,
%U A241134 48131264332222,322013597082816,2154376343705369,14413489436501544
%N A241134 Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.
%C A241134 Column 3 of A241138
%H A241134 R. H. Hardin, <a href="/A241134/b241134.txt">Table of n, a(n) for n = 1..210</a>
%F A241134 Empirical: a(n) = 7*a(n-1) +3*a(n-2) -21*a(n-3) -45*a(n-4) -293*a(n-5) -87*a(n-6) +857*a(n-7) +2153*a(n-8) +3773*a(n-9) +501*a(n-10) -1147*a(n-11) -4888*a(n-12) -15704*a(n-13) +1372*a(n-14) -4728*a(n-15) +4720*a(n-16) +1656*a(n-17) -59632*a(n-18) -55392*a(n-19) -57664*a(n-20) -22400*a(n-21) -2304*a(n-22) -19456*a(n-23) -47104*a(n-24) -114688*a(n-25) -65536*a(n-26) for n>27
%e A241134 Some solutions for n=4
%e A241134 ..0..0..1....0..0..0....0..0..0....0..1..1....0..0..0....0..1..0....0..0..0
%e A241134 ..2..2..1....1..2..1....1..1..1....0..2..2....1..1..1....0..1..0....1..0..2
%e A241134 ..1..1..2....1..2..1....2..0..2....0..1..1....2..2..0....0..2..2....1..0..2
%e A241134 ..0..0..2....0..0..1....2..0..2....0..2..2....1..1..0....0..1..1....0..0..0
%K A241134 nonn
%O A241134 1,2
%A A241134 _R. H. Hardin_, Apr 16 2014