login
Number of (n+1)X(5+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
1

%I #4 Nov 25 2014 11:17:34

%S 282,758,1779,4013,8914,19806,44104,98902,222987,506145,1154234,

%T 2644847,6079586,14016928,32378102,74921678,173549426,402401946,

%U 933565065,2166994001,5031542164,11686029668,27145660442,63066542163,146531950506

%N Number of (n+1)X(5+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Column 5 of A250583

%H R. H. Hardin, <a href="/A250580/b250580.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -15*a(n-2) -4*a(n-3) +64*a(n-4) -90*a(n-5) +9*a(n-6) +94*a(n-7) -96*a(n-8) +31*a(n-9) +6*a(n-10) -6*a(n-11) +a(n-12) for n>14

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2014