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 A240322 Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 1

%I

%S 2,5,17,37,80,213,443,1028,2511,5370,12742,29737,65687,155443,355668,

%T 803696,1883007,4285398,9805203,22760901,51853646,119272787,275149593,

%U 628629688,1447871151,3328934761,7625189365,17555754237,40308328871

%N Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

%C Column 2 of A240327

%H R. H. Hardin, <a href="/A240322/b240322.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +10*a(n-3) -a(n-4) -5*a(n-5) -15*a(n-6) +a(n-7) +4*a(n-8) +2*a(n-9) +10*a(n-10) +5*a(n-11) -6*a(n-13) for n>14

%e Some solutions for n=4

%e ..3..2....3..2....3..2....3..2....3..2....2..3....2..3....2..3....2..3....2..3

%e ..2..1....2..1....2..3....2..1....2..1....3..2....3..0....3..0....3..0....3..0

%e ..3..1....2..0....3..2....3..2....3..0....2..3....3..2....3..1....2..1....3..1

%e ..2..1....2..0....2..1....3..2....3..2....2..1....3..2....3..1....2..1....2..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 03 2014

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