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%I #8 Dec 22 2018 07:28:57
%S 104,296,598,985,1403,1917,2542,3222,3940,4767,5718,6737,7807,8999,
%T 10328,11738,13212,14821,16580,18433,20363,22441,24682,27030,29468,
%U 32067,34842,37737,40735,43907,47268,50762,54372,58169,62168,66313,70587,75061,79750
%N Number of (3+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.
%H R. H. Hardin, <a href="/A258556/b258556.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) + a(n-4) - 3*a(n-5) + 3*a(n-6) - a(n-7) for n>10.
%F Empirical g.f.: x*(104 - 16*x + 22*x^2 - 25*x^3 - 158*x^4 + 81*x^5 - 7*x^6 - 31*x^7 + 37*x^8 + 6*x^9) / ((1 - x)^4*(1 + x)*(1 + x^2)). - _Colin Barker_, Dec 22 2018
%e Some solutions for n=4:
%e ..0..1..0..0..1....0..0..0..0..0....1..0..0..0..1....0..0..0..0..1
%e ..1..0..0..1..1....0..0..0..0..1....1..0..0..0..0....1..0..0..0..1
%e ..1..1..1..1..1....1..1..1..1..1....1..0..0..0..0....0..0..0..1..1
%e ..1..1..1..1..1....1..1..0..0..0....1..1..1..0..1....1..1..1..1..0
%Y Row 3 of A258554.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 03 2015
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