A223617 Number of n X 5 0..1 arrays with rows and columns unimodal.

16, 256, 2582, 17594, 89630, 367216, 1271969, 3857481, 10504174, 26169386, 60506898, 131289614, 269716032, 528358366, 992720569, 1797620937, 3149899316, 5359276060, 8879561670, 14362835354, 22729680458, 35259087700, 53702216265

Offset

1,1

Comments

Column 5 of A223620.

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (3817/60480)*n^8 + (73/280)*n^7 + (1127/1350)*n^6 + (485/288)*n^5 + (532219/181440)*n^4 + (25699/7560)*n^3 + (30811/8400)*n^2 + (451/210)*n + 1.

Example

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

Crossrefs

Cf. A223620.

Sequence in context: A189112 A181215 A223666 * A174335 A297377 A283860

Adjacent sequences: A223614 A223615 A223616 * A223618 A223619 A223620

Keyword

nonn

Author

R. H. Hardin Mar 24 2013

Status

approved