A250465 - OEIS

%I #4 Nov 23 2014 18:05:58

%S 637,9651,135753,1920345,27076065,381830463,5383012776,75892576784,

%T 1069934356217,15084094478445,212656648654313,2998054563599503,

%U 42266832073393269,595881668315011177,8400792923303457876

%N Number of (n+1)X(5+1) 0..1 arrays with nondecreasing min(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 A250468

%H R. H. Hardin, <a href="/A250465/b250465.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +130*a(n-2) -189*a(n-3) -3667*a(n-4) +2558*a(n-5) +42988*a(n-6) -25070*a(n-7) -256657*a(n-8) +157899*a(n-9) +853784*a(n-10) -581133*a(n-11) -1642795*a(n-12) +1229304*a(n-13) +1838322*a(n-14) -1487824*a(n-15) -1178648*a(n-16) +1019200*a(n-17) +418640*a(n-18) -384000*a(n-19) -79200*a(n-20) +76288*a(n-21) +7360*a(n-22) -7296*a(n-23) -256*a(n-24) +256*a(n-25)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 23 2014