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Number of (5+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw
1

%I #4 Dec 30 2014 11:54:05

%S 676,2042,6190,19312,58505,173903,503944,1397185,3802746,9816070,

%T 25016754,60535988,145230766,332520929,757040896,1655009001,

%U 3605466139,7587808715,15940578578,32532048134,66375799304,132239420396

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

%C Row 5 of A253326

%H R. H. Hardin, <a href="/A253330/b253330.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253330/a253330.txt">Empirical recurrence of order 63</a>

%F Empirical recurrence of order 63 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014