login
Number of nX2 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, modulo 4
1

%I #4 Mar 09 2014 10:12:27

%S 7,41,218,1187,6524,35683,194936,1065802,5827642,31860101,174181686,

%T 952284895,5206307168,28463699289,155615648162,850776208722,

%U 4651331810246,25429586046868,139027679384545,760086916112708

%N Number of nX2 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, modulo 4

%C Column 2 of A239047

%H R. H. Hardin, <a href="/A239041/b239041.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -28*a(n-2) +74*a(n-3) -181*a(n-4) +236*a(n-5) -261*a(n-6) +234*a(n-7) +200*a(n-8) -279*a(n-9) +104*a(n-10) -268*a(n-11) -36*a(n-12) +156*a(n-13) +104*a(n-14) -32*a(n-15) -16*a(n-16)

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 09 2014