A204613 - OEIS

%I #7 Jan 01 2024 19:47:38

%S 907,14199,205117,3084029,45645661,681254361,10133992449,150976448169,

%T 2247899446625,33478224206409,498544006062097,7424476991609881,

%U 110565854451215521,1646569684719609385,24520996268226201073

%N Number of (n+1) X 6 0..1 arrays with the determinants of 2 X 2 subblocks nondecreasing rightwards and downwards.

%C Column 5 of A204616.

%H R. H. Hardin, <a href="/A204613/b204613.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=4

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

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

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

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

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

%Y Cf. A204616.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2012