A258521 - OEIS

%I #4 Jun 01 2015 13:34:22

%S 6516,13616,19920,25076,25532,23907,23398,26321,30168,33303,35726,

%T 37801,40964,45772,52250,58011,62266,68264,77152,89383,98654,107242,

%U 119496,135431,157308,174258,192562,217067,245492,287238,320266,357737,405498

%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically

%C Column 3 of A258522

%H R. H. Hardin, <a href="/A258521/b258521.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-4) +4*a(n-5) -4*a(n-9) -5*a(n-10) +5*a(n-14) +2*a(n-15) -2*a(n-19) for n>39

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A258522

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 01 2015