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

155, 699, 2812, 10528, 37477, 128507, 428095, 1394237, 4460779, 14073313, 43911559, 135823357, 417243011, 1274860729, 3878857343, 11762928117, 35580876923, 107413523505, 323772483447, 974796593517, 2932252102515

Offset

1,1

Comments

Column 2 of A250942

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=4
..0..2..0....2..0..2....0..0..2....2..0..1....0..0..0....1..0..1....0..1..0
..1..1..1....2..0..2....1..1..1....2..0..2....0..0..0....1..0..1....1..0..2
..0..2..0....2..0..2....2..2..0....1..1..1....0..0..1....2..1..0....0..2..0
..1..1..2....2..0..2....2..2..1....0..2..0....1..1..2....2..1..1....1..1..1
..1..2..1....2..0..2....2..2..2....1..1..2....1..1..2....2..1..1....0..2..2

Crossrefs

Sequence in context: A259957 A129640 A028382 * A224336 A218328 A101535

Adjacent sequences: A250933 A250934 A250935 * A250937 A250938 A250939

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved