A250529 Number of (n+1)X(1+1) 0..3 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

110, 700, 3958, 21326, 110546, 559824, 2787971, 13727380, 67045240, 325579124, 1574538204, 7592038724, 36528105991, 175474939818, 841989538667, 4036786501423, 19341925776125, 92633804040283, 443503464714699

Offset

1,1

Comments

Column 1 of A250536

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -25*a(n-2) -30*a(n-3) +166*a(n-4) -43*a(n-5) -343*a(n-6) +230*a(n-7) +301*a(n-8) -287*a(n-9) -110*a(n-10) +159*a(n-11) +5*a(n-12) -41*a(n-13) +6*a(n-14) +4*a(n-15) -a(n-16)

Example

Some solutions for n=5
..0..0....1..0....1..0....0..2....0..0....0..0....0..1....0..1....1..1....0..2
..2..3....0..1....0..2....2..0....0..1....0..0....0..2....1..1....0..3....2..2
..0..3....1..1....0..2....0..2....0..2....0..0....2..3....2..2....0..3....2..3
..3..3....3..2....2..2....2..2....2..1....0..1....1..3....0..2....1..3....2..3
..3..3....1..3....2..2....0..2....1..2....0..1....2..3....2..3....2..3....0..3
..0..3....3..3....0..3....2..3....3..2....0..1....3..2....1..3....2..3....1..3

Crossrefs

Sequence in context: A251030 A156852 A250536 * A251037 A251038 A074240

Adjacent sequences: A250526 A250527 A250528 * A250530 A250531 A250532

Keyword

nonn

Author

R. H. Hardin, Nov 24 2014

Status

approved