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A250694 Number of (3+1)X(n+1) 0..3 arrays with nondecreasing 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 2

%I

%S 2512,15246,74631,324648,1315446,5098590,19218493,71223396,261469392,

%T 955896790,3493273891,12795574192,47067986826,174102348110,

%U 648137931065,2429513706796,9171278516740,34862473392934,133406490904351

%N Number of (3+1)X(n+1) 0..3 arrays with nondecreasing 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 3 of A250691

%H R. H. Hardin, <a href="/A250694/b250694.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

%e Some solutions for n=3

%e ..2..1..3..1....3..0..1..0....2..3..1..0....1..1..1..0....0..1..1..2

%e ..1..0..2..0....2..1..2..1....2..3..2..2....1..1..2..2....0..1..1..2

%e ..2..1..3..2....2..2..3..3....0..1..0..0....1..1..2..2....0..1..1..2

%e ..1..0..2..3....0..0..1..1....0..1..2..3....2..2..3..3....0..1..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified September 22 06:53 EDT 2020. Contains 337289 sequences. (Running on oeis4.)