A251052 - OEIS

%I #4 Nov 29 2014 18:01:19

%S 5449,25847,53306,123396,248803,521785,1045337,2159272,4456235,

%T 9472092,20420073,44991377,100353084,226542343,514848340,1176370457,

%U 2695715545,6190362467,14231110836,32740615341,75353257829,173470613490

%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 absolute difference of its antidiagonal elements

%C Column 5 of A251055

%H R. H. Hardin, <a href="/A251052/b251052.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>12

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014