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A253325 Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw 1

%I

%S 3249,17197,86922,185672,503944,797324,1660088,2516513,4869987,

%T 7734273,14919670,25495092,49930717,90999544,180464019,343236331,

%U 684939660,1334617667,2669247347,5267675675,10540870453,20938024856,41896374843

%N Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

%C Column 7 of A253326

%H R. H. Hardin, <a href="/A253325/b253325.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +2*a(n-2) -26*a(n-3) +16*a(n-4) +62*a(n-5) -70*a(n-6) -62*a(n-7) +109*a(n-8) +14*a(n-9) -76*a(n-10) +16*a(n-11) +20*a(n-12) -8*a(n-13) for n>26

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)