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A250679 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.

%I A250679 #6 Jul 23 2025 12:40:50
%S A250679 2512,34630,388916,4008211,38224684,345255872,2996016017,25227877364,
%T A250679 207711004347,1680947958659,13425296521939,106128580452188,
%U A250679 832257246775220,6485280761219682,50282187542669984,388284093532906123
%N A250679 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 A250679 Row 3 of A250676
%H A250679 R. H. Hardin, <a href="/A250679/b250679.txt">Table of n, a(n) for n = 1..210</a>
%H A250679 R. H. Hardin, <a href="/A250679/a250679.txt">Empirical recurrence of order 58K</a>
%F A250679 Empirical recurrence of order 58 (see link above)
%e A250679 Some solutions for n=2
%e A250679 ..2..0..0....0..0..0....3..0..3....1..0..1....1..1..3....1..1..1....1..2..0
%e A250679 ..2..0..1....1..1..1....1..2..1....2..1..3....1..1..3....2..0..2....3..0..2
%e A250679 ..2..1..2....1..2..0....2..1..3....1..3..1....0..2..2....2..1..3....2..1..3
%e A250679 ..2..2..1....0..3..3....3..2..2....1..3..2....1..3..1....2..2..2....1..3..1
%K A250679 nonn
%O A250679 1,1
%A A250679 _R. H. Hardin_, Nov 26 2014