%I #4 Nov 29 2014 17:30:21
%S 110,711,4050,21720,110852,546600,2624313,12343573,57116869,260828863,
%T 1178253507,5274772080,23435131926,103447436545,454103279511,
%U 1983776981901,8629751790534,37401619581258,161567196684667
%N Number of (1+1)X(n+1) 0..3 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 1 of A251037
%H R. H. Hardin, <a href="/A251038/b251038.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -25*a(n-2) -30*a(n-3) +146*a(n-4) +31*a(n-5) -287*a(n-6) -50*a(n-7) +239*a(n-8) +59*a(n-9) -86*a(n-10) -27*a(n-11) +11*a(n-12) +4*a(n-13)
%e Some solutions for n=4
%e ..1..2..1..3..2....0..3..1..0..0....0..1..3..0..3....2..1..3..1..3
%e ..1..2..1..3..2....0..2..2..1..3....0..1..3..1..1....2..2..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
|