The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%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