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%I #4 Nov 23 2014 18:06:44
%S 1741,40124,847278,18018051,381830463,8093522514,171499189113,
%T 3634222052535,77009066849457,1631841304005759,34578881148805820,
%U 732731904334065226,15526684367753641367,329012632317740977772
%N Number of (n+1)X(6+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
%C Column 6 of A250468
%H R. H. Hardin, <a href="/A250466/b250466.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +341*a(n-2) -140*a(n-3) -26087*a(n-4) -11140*a(n-5) +905202*a(n-6) +320648*a(n-7) -17475892*a(n-8) -1365694*a(n-9) +206007224*a(n-10) -44788000*a(n-11) -1559558596*a(n-12) +750137354*a(n-13) +7802430054*a(n-14) -5490868104*a(n-15) -26214099595*a(n-16) +23387483566*a(n-17) +59682318683*a(n-18) -63249448212*a(n-19) -92552555877*a(n-20) +113338105026*a(n-21) +97922922144*a(n-22) -138114844800*a(n-23) -70332228080*a(n-24) +116307538432*a(n-25) +33684598752*a(n-26) -68218694848*a(n-27) -10269373504*a(n-28) +27867808832*a(n-29) +1732942784*a(n-30) -7855049600*a(n-31) -56257536*a(n-32) +1495126016*a(n-33) -37505024*a(n-34) -184716288*a(n-35) +7526400*a(n-36) +13803520*a(n-37) -587776*a(n-38) -544768*a(n-39) +16384*a(n-40) +8192*a(n-41)
%e Some solutions for n=2
%e ..0..0..0..0..0..1..0....0..1..0..0..0..0..0....0..0..0..1..0..0..1
%e ..1..0..0..1..0..0..0....0..0..0..0..0..0..1....0..0..0..0..0..0..0
%e ..0..1..0..0..1..1..1....0..0..0..1..1..0..0....1..1..0..0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 23 2014
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