A253354 - OEIS

%I #4 Dec 30 2014 14:46:24

%S 907,13917,199512,3013228,44555528,665370612,9895936900,147440625572,

%T 2195170751588,32693166021572,486848982960612,7250310539066372,

%U 107971923825192356,1607939749592771012,23945699545057341924

%N Number of (5+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 5 of A253350

%H R. H. Hardin, <a href="/A253354/b253354.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 36*a(n-1) -406*a(n-2) +404*a(n-3) +23747*a(n-4) -145816*a(n-5) -129968*a(n-6) +3736568*a(n-7) -7902612*a(n-8) -29701104*a(n-9) +128249776*a(n-10) +34934976*a(n-11) -780114560*a(n-12) +607369728*a(n-13) +2210927104*a(n-14) -3052507136*a(n-15) -2863537152*a(n-16) +5709414400*a(n-17) +1514283008*a(n-18) -4781309952*a(n-19) -281149440*a(n-20) +1658847232*a(n-21) +94371840*a(n-22) -150994944*a(n-23) for n>26

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014