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A240149 Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

%I A240149 #6 Jun 02 2025 09:40:15
%S A240149 4,8,20,67,254,825,2667,8652,27929,91436,297311,965014,3135633,
%T A240149 10174603,33030794,107154304,347714014,1127972498,3659419980,
%U A240149 11870924983,38508782933,124917347816,405214920992,1314447547691,4263837727610
%N A240149 Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.
%C A240149 Column 3 of A240153
%H A240149 R. H. Hardin, <a href="/A240149/b240149.txt">Table of n, a(n) for n = 1..210</a>
%e A240149 Some solutions for n=4
%e A240149 ..3..3..2....3..3..2....2..2..3....2..2..3....3..2..3....3..2..3....2..2..3
%e A240149 ..2..1..2....2..1..1....0..2..2....0..2..1....3..2..1....3..1..2....0..2..1
%e A240149 ..0..0..3....0..0..3....0..3..3....2..0..2....2..2..3....2..1..3....2..2..2
%e A240149 ..0..2..1....0..2..2....2..2..3....0..0..2....2..0..1....2..0..2....2..1..1
%K A240149 nonn
%O A240149 1,1
%A A240149 _R. H. Hardin_, Apr 02 2014