A201351 - OEIS

%I #5 Mar 31 2012 12:36:44

%S 5,36,273,2732,29540,310036,3030673,27104947,220732437,1641106829,

%T 11206232481,70771398891,416197943012,2293568841898,11910310629163,

%U 58569696365494,273928804681607,1223107208560736,5231237485621038

%N Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor

%C Column 6 of A201353

%H R. H. Hardin, <a href="/A201351/b201351.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) is a polynomial of degree 63 for n>22

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 30 2011