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%I #4 Nov 29 2014 18:20:25
%S 92429,4499219,119032248,2062530658,26192388204,262314968432,
%T 2179252808041,15575644526039,98405520674803,561105111152933,
%U 2934787743118728,14264091868486046,65103854823688134,281456809033502378
%N Number of (5+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01
%C Row 5 of A251065
%H R. H. Hardin, <a href="/A251069/b251069.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 46*a(n-1) -1021*a(n-2) +14566*a(n-3) -150115*a(n-4) +1190818*a(n-5) -7565523*a(n-6) +39546498*a(n-7) -173394318*a(n-8) +646904260*a(n-9) -2076097186*a(n-10) +5779538716*a(n-11) -14047031686*a(n-12) +29955478756*a(n-13) -56258286310*a(n-14) +93298957284*a(n-15) -136868817069*a(n-16) +177768541494*a(n-17) -204435461489*a(n-18) +208007834270*a(n-19) -186949454951*a(n-20) +148041763226*a(n-21) -102919401431*a(n-22) +62512079546*a(n-23) -32963315700*a(n-24) +14966379960*a(n-25) -5788295520*a(n-26) +1880029760*a(n-27) -503070080*a(n-28) +107966720*a(n-29) -17863424*a(n-30) +2138624*a(n-31) -164864*a(n-32) +6144*a(n-33)
%e Some solutions for n=1
%e ..0..0....1..1....1..2....1..2....1..1....0..2....0..1....2..1....1..1....2..2
%e ..0..0....1..2....0..0....1..0....2..2....1..2....0..2....0..2....1..1....1..2
%e ..0..0....0..1....0..1....1..2....1..2....0..1....1..1....0..1....1..2....2..2
%e ..0..2....1..1....0..0....2..2....1..1....1..1....2..2....1..1....0..2....0..0
%e ..1..1....0..0....0..2....1..1....0..0....2..2....0..2....0..2....0..2....1..2
%e ..1..1....2..2....1..2....0..0....0..2....2..2....2..1....2..2....2..1....2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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