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%I #6 Mar 27 2023 15:41:42
%S 102963,1578385,18235293,171212264,1325146542,8760011881,50308117796,
%T 256524870716,1177985177929,4941673178715,19132205891687,
%U 69012076487999,233611923486464,746973731374119,2267998215377083,6569826277885268
%N Number of (n+1) X (5+1) 0..3 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 Column 5 of A250707.
%H R. H. Hardin, <a href="/A250704/b250704.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) -89*a(n-2) +216*a(n-3) +181*a(n-4) -2401*a(n-5) +4641*a(n-6) +4328*a(n-7) -31187*a(n-8) +31993*a(n-9) +71773*a(n-10) -202592*a(n-11) +30303*a(n-12) +510433*a(n-13) -600277*a(n-14) -541920*a(n-15) +1681958*a(n-16) -435434*a(n-17) -2440234*a(n-18) +2491216*a(n-19) +1618722*a(n-20) -4268394*a(n-21) +848250*a(n-22) +4071600*a(n-23) -3223350*a(n-24) -1893294*a(n-25) +3708810*a(n-26) -461216*a(n-27) -2380146*a(n-28) +1432514*a(n-29) +744966*a(n-30) -1100896*a(n-31) +105547*a(n-32) +446187*a(n-33) -220493*a(n-34) -76648*a(n-35) +100217*a(n-36) -14053*a(n-37) -20683*a(n-38) +10152*a(n-39) +665*a(n-40) -1883*a(n-41) +489*a(n-42) +64*a(n-43) -61*a(n-44) +13*a(n-45) -a(n-46) for n>57.
%e Some solutions for n=1
%e ..0..0..2..2..2..2....0..1..1..2..2..2....0..1..0..1..1..1....1..0..0..1..1..1
%e ..2..0..3..2..3..3....3..1..3..3..2..2....3..0..3..3..2..3....0..1..3..3..2..3
%Y Cf. A250707.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2014
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