%I #5 Jan 10 2014 06:50:12
%S 44,172,704,2302,7617,21707,62070,160219,413728,994013,2386992,
%T 5442827,12403299,27224435,59728771,127521907,272186909,569643759,
%U 1192017901,2459436721,5074257282,10364928156,21172231949,42946541188,87117681967
%N Number of (n+1)X(2+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise
%C Column 2 of A235413
%H R. H. Hardin, <a href="/A235407/b235407.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) -78*a(n-3) -84*a(n-4) +696*a(n-5) +112*a(n-6) -3760*a(n-7) +1218*a(n-8) +13704*a(n-9) -8862*a(n-10) -35508*a(n-11) +32060*a(n-12) +67024*a(n-13) -76668*a(n-14) -92568*a(n-15) +131079*a(n-16) +91860*a(n-17) -164969*a(n-18) -61582*a(n-19) +153888*a(n-20) +22296*a(n-21) -105420*a(n-22) +2424*a(n-23) +51632*a(n-24) -7808*a(n-25) -17136*a(n-26) +4320*a(n-27) +3456*a(n-28) -1152*a(n-29) -320*a(n-30) +128*a(n-31)
%e Some solutions for n=4
%e ..0..0..0....1..0..0....0..1..0....1..0..0....1..0..1....1..0..1....0..0..1
%e ..1..0..0....0..0..1....1..0..1....1..0..0....1..1..0....0..1..0....1..0..0
%e ..0..1..0....1..1..0....0..1..0....1..1..0....0..1..0....0..1..0....1..0..1
%e ..1..1..0....1..0..0....1..1..0....0..1..0....1..1..0....1..1..0....1..1..0
%e ..1..1..0....1..1..0....1..1..0....1..1..1....0..1..0....1..0..1....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 10 2014
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