cp's OEIS Frontend

A184371 1/3 the number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having at least two equal elements connected horizontally or vertically.

%I A184371 #7 Apr 21 2021 10:53:06
%S A184371 8019,880781,95528423,10378244309,1127256514575,122443114867993,
%T A184371 13299774554091575,1444622701339019869,156915034606615850427,
%U A184371 17044123945719790186817,1851334139596041020316331
%N A184371 1/3 the number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having at least two equal elements connected horizontally or vertically.
%C A184371 Column 4 of A184376.
%H A184371 R. H. Hardin, <a href="/A184371/b184371.txt">Table of n, a(n) for n = 1..200</a>
%F A184371 Empirical: a(n)=114*a(n-1)-197*a(n-2)-44924*a(n-3)+280944*a(n-4)+3429792*a(n-5)-38126443*a(n-6)+98209829*a(n-7)+162477726*a(n-8)-1059045499*a(n-9)+651177189*a(n-10)+3269771125*a(n-11)-4412158618*a(n-12)-3526224683*a(n-13)+7595898885*a(n-14)+727564626*a(n-15)-4875456557*a(n-16)+367654226*a(n-17)+1090025544*a(n-18)-17907882*a(n-19)-56592728*a(n-20)+3381324*a(n-21)+616392*a(n-22)-47520*a(n-23).
%e A184371 Some solutions for 3 X 5 with a(1,1)=0
%e A184371 ..0..0..0..1..0....0..0..0..1..1....0..0..0..0..0....0..0..0..0..0
%e A184371 ..1..2..2..2..0....0..0..2..2..1....0..1..0..1..1....2..2..0..1..2
%e A184371 ..1..1..1..1..1....2..1..1..0..0....2..1..0..0..0....0..2..0..1..0
%Y A184371 Cf. A184376.
%K A184371 nonn
%O A184371 1,1
%A A184371 _R. H. Hardin_ Jan 12 2011