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%I #7 Nov 23 2018 20:41:11
%S 1072,7342,43185,218680,1014946,4416061,18465586,74732823,296093261,
%T 1152271759,4431083756,16868521712,63789520796,239860653668,
%U 898625766687,3356121820652,12509696905973,46549835501331,173041037569515
%N Number of (4+1)X(n+1) 0..2 arrays with nondecreasing 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 Row 4 of A250632.
%C Appears to satisfy the same recurrence relation as A250588.
%H R. H. Hardin, <a href="/A250636/b250636.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) -101*a(n-2) +110*a(n-3) +1466*a(n-4) -6607*a(n-5) +2715*a(n-6) +50990*a(n-7) -125338*a(n-8) -69069*a(n-9) +724777*a(n-10) -770521*a(n-11) -1528585*a(n-12) +4147071*a(n-13) -616996*a(n-14) -8587972*a(n-15) +9209705*a(n-16) +6258473*a(n-17) -18241543*a(n-18) +5925196*a(n-19) +15364973*a(n-20) -15498239*a(n-21) -2690737*a(n-22) +12025570*a(n-23) -4880027*a(n-24) -3407185*a(n-25) +3581843*a(n-26) -420145*a(n-27) -810850*a(n-28) +400975*a(n-29) -4790*a(n-30) -48700*a(n-31) +15025*a(n-32) -1500*a(n-33) for n > 37.
%e Some solutions for n=3:
%e ..0..0..1..1....1..0..1..2....0..0..0..2....0..0..1..2....0..0..0..1
%e ..0..0..1..1....0..1..1..2....0..0..0..2....0..1..1..2....0..0..0..1
%e ..1..1..1..1....0..1..1..2....0..0..0..2....0..1..2..2....1..0..0..2
%e ..1..1..1..1....0..1..1..2....0..0..1..1....0..1..2..2....0..1..1..2
%e ..1..2..2..2....2..1..2..1....2..1..1..2....0..1..2..2....2..1..2..2
%Y Cf. A250632, A250588.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2014
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