A251025 - OEIS

%I #6 Dec 01 2014 12:50:25

%S 18330,60044,118871,257578,516684,1078862,2203974,4638560,9823382,

%T 21323795,46876790,104722539,236069897,536548809,1225050935,

%U 2806918650,6443646515,14812139786,34073066816,78416975906,180515457726

%N Number of (n+1)X(5+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements

%C Column 5 of A251028

%H R. H. Hardin, <a href="/A251025/b251025.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -25*a(n-2) +35*a(n-3) -7*a(n-4) -49*a(n-5) +77*a(n-6) -55*a(n-7) +20*a(n-8) -3*a(n-9) for n>14

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014