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Number of (n+1)X(4+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise
2

%I #4 Feb 21 2014 05:31:14

%S 286,2818,43456,523578,6683137,65450601,640472606,5080416791,

%T 40066932588,267891545518,1781590953402,10371478598345,60084341166190,

%U 311815187891138,1610762741432521,7583058204030841,35540971632237331

%N Number of (n+1)X(4+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise

%C Column 4 of A238255

%H R. H. Hardin, <a href="/A238251/b238251.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 21 2014