cp's OEIS Frontend

A240272 Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.

%I A240272 #6 Jun 02 2025 09:45:26
%S A240272 3,7,35,157,713,3263,14895,68101,311509,1424689,6516312,29807450,
%T A240272 136351053,623728103,2853225545,13052077767,59706884718,273130241113,
%U A240272 1249440509707,5715597380517,26146153523610,119606300969406
%N A240272 Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.
%C A240272 Row 2 of A240271
%H A240272 R. H. Hardin, <a href="/A240272/b240272.txt">Table of n, a(n) for n = 1..210</a>
%F A240272 Empirical: a(n) = 8*a(n-1) -20*a(n-2) +34*a(n-3) -84*a(n-4) +92*a(n-5) -68*a(n-6) +222*a(n-7) +13*a(n-8) -251*a(n-9) +25*a(n-10) -495*a(n-11) +485*a(n-12) -44*a(n-13) -180*a(n-14) +554*a(n-15) -648*a(n-16) +14*a(n-17) +152*a(n-18) -190*a(n-19) -140*a(n-20) +397*a(n-21) -273*a(n-22) +75*a(n-23) +167*a(n-24) -136*a(n-25) +27*a(n-26) for n>28
%e A240272 Some solutions for n=4
%e A240272 ..3..2..2..0....3..2..3..3....3..2..0..0....3..2..0..3....3..0..2..2
%e A240272 ..2..1..1..2....3..1..1..2....3..2..0..0....3..2..2..2....3..2..2..0
%K A240272 nonn
%O A240272 1,1
%A A240272 _R. H. Hardin_, Apr 03 2014