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A239407 Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.

%I A239407 #6 Jun 02 2025 09:27:55
%S A239407 12,129,1337,13977,144762,1504399,15591122,161801518,1677624003,
%T A239407 17403195529,180479056305,1871997954119,19414915574725,
%U A239407 201369918597195,2088509247416759,21661501410101827,224664541142404827
%N A239407 Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.
%C A239407 Row 3 of A239405
%H A239407 R. H. Hardin, <a href="/A239407/b239407.txt">Table of n, a(n) for n = 1..210</a>
%F A239407 Empirical: a(n) = 8*a(n-1) +73*a(n-2) -446*a(n-3) -1413*a(n-4) +8070*a(n-5) +12185*a(n-6) -63420*a(n-7) -49358*a(n-8) +220534*a(n-9) +39486*a(n-10) -241802*a(n-11) +244780*a(n-12) -89648*a(n-13) -386680*a(n-14) -228008*a(n-15) +129984*a(n-16) -457816*a(n-17) -1064416*a(n-18) -330768*a(n-19) +556128*a(n-20) -351872*a(n-21) +769280*a(n-22) +407552*a(n-23) -200704*a(n-24) +32768*a(n-25)
%e A239407 Some solutions for n=4
%e A239407 ..3..3..1..3....3..1..0..0....3..3..1..3....0..3..3..0....0..0..3..3
%e A239407 ..0..2..1..3....2..2..3..1....2..2..2..2....0..0..0..3....0..0..0..2
%e A239407 ..2..0..1..1....0..2..0..1....2..2..3..1....0..2..0..0....3..3..2..2
%K A239407 nonn
%O A239407 1,1
%A A239407 _R. H. Hardin_, Mar 17 2014