A223672 Number of 5 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal.

32, 1024, 10327, 44693, 136289, 364959, 920106, 2218590, 5118463, 11300965, 23936447, 48791299, 95996333, 182794485, 337692452, 606574002, 1061493687, 1813061935, 3027558649, 4950175307, 7936087995, 12491408683, 19326452244

Offset

1,1

Comments

Row 5 of A223669.

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 - (391/18144)*n^9 + (5825/12096)*n^8 - (13241/3780)*n^7 - (41189/675)*n^6 + (10637083/4320)*n^5 - (1341019765/36288)*n^4 + (7101447161/22680)*n^3 - (37771550507/25200)*n^2 + (2233774483/630)*n - 2534086 for n>12.

Example

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

Crossrefs

Cf. A223669.

Sequence in context: A029548 A016745 A189267 * A189620 A189692 A188743

Adjacent sequences: A223669 A223670 A223671 * A223673 A223674 A223675

Keyword

nonn

Author

R. H. Hardin, Mar 25 2013

Status

approved