A266029 Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.

11, 315, 5594, 118489, 2482216, 52086421, 1092258910, 22909266015, 480473869537, 10077157027608, 211350503493933, 4432712286529026, 92968428515505883, 1949851492689803393, 40894749305093748839, 857696374917901826350

Offset

1,1

Comments

Column 4 of A266033.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +231*a(n-2) -100*a(n-3) -7612*a(n-4) -1116*a(n-5) +74582*a(n-6) -64354*a(n-7) -370540*a(n-8) +661109*a(n-9) +1260417*a(n-10) +252581*a(n-11) -15283*a(n-12) +86793*a(n-13) -32631*a(n-14) +2989*a(n-15) -36*a(n-16) for n>17

Example

Some solutions for n=4
..0..2..2..0....0..0..0..2....0..0..2..0....0..2..3..1....0..0..0..2
..1..0..0..1....2..0..0..1....1..2..4..0....1..0..0..1....2..1..1..1
..0..0..1..2....2..1..4..0....0..3..0..0....0..0..4..1....2..0..0..2
..0..3..1..0....2..0..3..0....0..2..3..0....0..0..0..0....1..3..0..0

Crossrefs

Cf. A266033.

Sequence in context: A267753 A233241 A266830 * A106827 A276977 A176285

Adjacent sequences: A266026 A266027 A266028 * A266030 A266031 A266032

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved