login
Number of (n+1)X(1+1) 0..3 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements
1

%I #5 Dec 01 2014 19:56:29

%S 216,2920,39594,536886,7279536,98701641,1338276196,18145426216,

%T 246030290196,3335876643796,45230499797844,613271511689832,

%U 8315228633899785,112744560795480180,1528681476916631872

%N Number of (n+1)X(1+1) 0..3 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements

%C Column 1 of A251359

%H R. H. Hardin, <a href="/A251352/b251352.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -40*a(n-2) +104*a(n-3) -150*a(n-4) +118*a(n-5) -48*a(n-6) +9*a(n-7)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014