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Number of 5Xn 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 two plus the sum of the elements diagonally to its northwest, modulo 4
1

%I #5 Aug 11 2014 22:46:11

%S 4,120,1232,8656,50756,263816,1378418,6579675,29397762,123759215,

%T 496112681,1900666919,6979266540,24609313384,83512254200,273448859847,

%U 866039269080,2658909119696,7930100322771,23019222158010,65147052918163

%N Number of 5Xn 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 two plus the sum of the elements diagonally to its northwest, modulo 4

%C Row 5 of A240394

%H R. H. Hardin, <a href="/A240397/b240397.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A240397/a240397.txt">Empirical polynomial of degree 44</a>

%F Empirical polynomial of degree 44 (see link above)

%e Some solutions for n=4

%e ..3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014