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Number of (4+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
1

%I #6 Nov 29 2014 17:36:01

%S 19112,304421,3396593,32439684,267606254,2010619868,13920865807,

%T 90738782195,561837367031,3339244059773,19167924686205,

%U 106885763109764,581385192865977,3095733314978369,16181595154241124,83226682012389566

%N Number of (4+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 4 of A251037

%H R. H. Hardin, <a href="/A251041/b251041.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A251041/a251041.txt">Empirical recurrence of order 98</a>

%F Empirical recurrence of order 98 (see link above)

%e Some solutions for n=1

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014