A253509 - OEIS

%I #4 Jan 02 2015 20:06:58

%S 1500,3088,5692,10236,16592,25988,38564,55576,77680,106248,142556,

%T 188308,245396,316036,402740,508348,636044,789376,972276,1189080,

%U 1444548,1743884,2092756,2497316,2964220,3500648,4114324,4813536,5607156,6504660

%N Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically

%C Column 7 of A253510

%H R. H. Hardin, <a href="/A253509/b253509.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/6)*n^5 + (11/6)*n^4 + (97/6)*n^3 + (3661/6)*n^2 - (1501/3)*n - 980 for n>12

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2015