A223767 Number of nX5 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing

16, 101, 317, 782, 1748, 3699, 7564, 14980, 28778, 53619, 96979, 170525, 292045, 488120, 797778, 1277432, 2007477, 3101006, 4715203, 7066083, 10447376, 15254495, 22014688, 31424652, 44397084, 62117861, 86115779, 118347041, 161296967

Offset

1,1

Comments

Column 5 of A223770

Links

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

Formula

Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (23/120960)*n^8 - (43/40320)*n^7 + (11293/172800)*n^6 - (1721/2304)*n^5 + (1557823/181440)*n^4 - (3058823/60480)*n^3 + (99347/350)*n^2 - (196177/210)*n + 1664 for n>6

Example

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

Crossrefs

Sequence in context: A091100 A061432 A115328 * A223774 A224155 A224406

Adjacent sequences: A223764 A223765 A223766 * A223768 A223769 A223770

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved