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%I #4 Nov 29 2014 15:00:31
%S 646,4007,21955,111175,542834,2592734,12238954,57388086,268220043,
%T 1251995646,5843762848,27293152949,127596737815,597184294909,
%U 2798100377112,13124265846109,61616682850586,289522081723318
%N Number of (n+1)X(3+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 Column 3 of A250994
%H R. H. Hardin, <a href="/A250989/b250989.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 25*a(n-1) -263*a(n-2) +1465*a(n-3) -4208*a(n-4) +2752*a(n-5) +20591*a(n-6) -63149*a(n-7) +39306*a(n-8) +127182*a(n-9) -234935*a(n-10) -16967*a(n-11) +341508*a(n-12) -162216*a(n-13) -227787*a(n-14) +169273*a(n-15) +82343*a(n-16) -69183*a(n-17) -19686*a(n-18) +10818*a(n-19) +3132*a(n-20)
%e Some solutions for n=4
%e ..0..0..1..0....0..1..0..1....0..0..0..1....1..1..0..0....1..0..1..0
%e ..0..0..1..0....0..1..0..2....0..0..1..0....1..1..1..2....0..1..0..2
%e ..0..0..0..2....0..0..1..0....0..0..2..1....1..1..2..1....0..1..0..2
%e ..0..0..1..0....0..1..0..2....1..1..1..2....1..1..1..2....0..1..0..0
%e ..0..1..0..2....0..1..0..0....1..1..2..1....1..1..1..2....0..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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