A250976 - OEIS

%I #4 Nov 29 2014 07:44:37

%S 562,12077,260056,5598430,120515358,2594308975,55847243498,

%T 1202213827627,25879845186236,557110868066839,11992827527938683,

%U 258167485773838760,5557525992329036272,119635883127807659650,2575380583292401972989

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

%C Column 2 of A250982

%H R. H. Hardin, <a href="/A250976/b250976.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -143*a(n-2) +623*a(n-3) -1885*a(n-4) +3219*a(n-5) -3457*a(n-6) +1819*a(n-7) +676*a(n-8) -2357*a(n-9) +2321*a(n-10) -1157*a(n-11) +271*a(n-12) -13*a(n-13) -4*a(n-14)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014