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%I #4 Nov 29 2014 15:12:00
%S 2323,18387,111175,590305,2800667,12340547,51107941,202138965,
%T 769534821,2842199370,10235285328,36098675795,125089438788,
%U 427039424933,1439293239677,4797698835380,15839489469572,51855865301042
%N Number of (4+1)X(n+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
%C Row 4 of A250994
%H R. H. Hardin, <a href="/A250998/b250998.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -147*a(n-3) +369*a(n-4) +972*a(n-5) -3876*a(n-6) -2980*a(n-7) +22058*a(n-8) +1026*a(n-9) -81228*a(n-10) +27294*a(n-11) +209097*a(n-12) -119447*a(n-13) -392230*a(n-14) +285303*a(n-15) +549197*a(n-16) -457458*a(n-17) -581896*a(n-18) +523514*a(n-19) +469631*a(n-20) -436793*a(n-21) -289012*a(n-22) +266103*a(n-23) +135028*a(n-24) -116745*a(n-25) -47336*a(n-26) +35743*a(n-27) +12143*a(n-28) -7200*a(n-29) -2162*a(n-30) +850*a(n-31) +238*a(n-32) -44*a(n-33) -12*a(n-34)
%e Some solutions for n=3
%e ..1..1..0..0....0..1..0..1....0..0..0..1....1..2..0..2....0..0..1..0
%e ..1..1..0..2....0..1..0..2....0..1..1..0....1..2..0..0....0..0..1..0
%e ..1..1..0..2....0..1..0..2....0..1..2..1....1..2..1..1....0..1..0..2
%e ..1..1..0..1....0..0..2..0....0..1..1..2....1..2..1..2....1..0..2..0
%e ..1..1..0..0....0..0..1..2....0..1..1..1....2..1..2..1....0..1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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