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A250936 Number of (n+1)X(2+1) 0..2 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 1

%I

%S 155,699,2812,10528,37477,128507,428095,1394237,4460779,14073313,

%T 43911559,135823357,417243011,1274860729,3878857343,11762928117,

%U 35580876923,107413523505,323772483447,974796593517,2932252102515

%N Number of (n+1)X(2+1) 0..2 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 Column 2 of A250942

%H R. H. Hardin, <a href="/A250936/b250936.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -71*a(n-2) +211*a(n-3) -368*a(n-4) +376*a(n-5) -208*a(n-6) +48*a(n-7) for n>11

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014

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Last modified July 25 19:34 EDT 2021. Contains 346291 sequences. (Running on oeis4.)