A250804 - OEIS

%I #4 Nov 27 2014 16:16:15

%S 1970,9956,37986,124366,361344,968942,2437366,5849556,13519146,

%T 30351918,66573728,143373294,304256334,638165212,1326004914,

%U 2734630046,5605754032,11435981086,23239612118,47079690548,95137712202,191866743358

%N Number of (7+1)X(n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Row 7 of A250797

%H R. H. Hardin, <a href="/A250804/b250804.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) -17*a(n-3) +29*a(n-4) +16*a(n-5) -56*a(n-6) +6*a(n-7) +49*a(n-8) -19*a(n-9) -20*a(n-10) +11*a(n-11) +3*a(n-12) -2*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014