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A239814 Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4.

%I A239814 #6 Jun 02 2025 09:31:53
%S A239814 10,132,1480,17552,204779,2405330,28156167,330152684,3868656623,
%T A239814 45340827197,531385036815,6227630455564,72986367133614,
%U A239814 855377894814551,10024792297748632,117487669001323549,1376922218413007325
%N A239814 Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4.
%C A239814 Column 3 of A239819
%H A239814 R. H. Hardin, <a href="/A239814/b239814.txt">Table of n, a(n) for n = 1..210</a>
%F A239814 Empirical: a(n) = 2*a(n-1) +103*a(n-2) +305*a(n-3) -1576*a(n-4) -7517*a(n-5) +13822*a(n-6) +84263*a(n-7) -193487*a(n-8) -386588*a(n-9) +2125542*a(n-10) -2240531*a(n-11) -6903934*a(n-12) +24598571*a(n-13) -24037070*a(n-14) -20933507*a(n-15) +84761410*a(n-16) -76409880*a(n-17) -58972949*a(n-18) +191904430*a(n-19) -103074732*a(n-20) -119505780*a(n-21) +301528072*a(n-22) -71474328*a(n-23) -220257104*a(n-24) +158665984*a(n-25) -141276800*a(n-26) -317537024*a(n-27) -19131392*a(n-28) -71272448*a(n-29) -128999424*a(n-30) -20832256*a(n-31) -5177344*a(n-32) -4849664*a(n-33) +1048576*a(n-34) +524288*a(n-35)
%e A239814 Some solutions for n=4
%e A239814 ..3..2..0....3..2..2....3..2..3....3..0..0....3..2..2....3..0..0....2..0..3
%e A239814 ..1..2..0....1..0..2....1..2..2....2..3..0....1..0..2....2..0..0....1..3..2
%e A239814 ..3..0..2....3..0..2....3..2..0....3..1..3....3..2..3....1..0..2....3..1..3
%e A239814 ..3..0..0....2..0..0....1..2..0....2..3..3....1..3..2....2..0..0....2..0..0
%K A239814 nonn
%O A239814 1,1
%A A239814 _R. H. Hardin_, Mar 27 2014