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A240194 Number of 4Xn 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 three plus the sum of the elements diagonally to its northwest, modulo 4.

%I A240194 #6 Jun 02 2025 09:42:00
%S A240194 4,27,138,771,5240,40765,336257,2843914,24331713,209365217,1806459338,
%T A240194 15606899530,134920604706,1166738652794,10090988027354,87282067470301,
%U A240194 754973088693125,6530482231898003,56488830699787694,488631696598081278
%N A240194 Number of 4Xn 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 three plus the sum of the elements diagonally to its northwest, modulo 4.
%C A240194 Row 4 of A240192
%H A240194 R. H. Hardin, <a href="/A240194/b240194.txt">Table of n, a(n) for n = 1..210</a>
%F A240194 Empirical: a(n) = 27*a(n-1) -294*a(n-2) +1660*a(n-3) -4909*a(n-4) +4008*a(n-5) +28110*a(n-6) -141830*a(n-7) +316164*a(n-8) -141103*a(n-9) -1161198*a(n-10) +2896480*a(n-11) -1515959*a(n-12) -3659154*a(n-13) +5143300*a(n-14) -13602*a(n-15) -280443*a(n-16) -7998970*a(n-17) +9853042*a(n-18) +2165540*a(n-19) -18119292*a(n-20) +21393552*a(n-21) -1551144*a(n-22) -20485792*a(n-23) +14878784*a(n-24) +4182464*a(n-25) -7981312*a(n-26) +1462784*a(n-27) +1097728*a(n-28) -368640*a(n-29) for n>34
%e A240194 Some solutions for n=4
%e A240194 ..2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0
%e A240194 ..1..2..2..0....1..0..2..2....1..2..2..2....1..2..2..2....1..0..2..0
%e A240194 ..2..1..1..3....1..3..2..0....2..1..2..2....2..1..2..0....1..3..2..3
%e A240194 ..1..3..3..2....2..3..0..0....1..3..3..2....1..3..3..2....2..1..0..2
%K A240194 nonn
%O A240194 1,1
%A A240194 _R. H. Hardin_, Apr 02 2014