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

Author

R. H. Hardin, Mar 25 2013

Keywords

• nonn

Comments

Row 5 of A223669.

Examples

			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
		

Links

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

Crossrefs

Cf. A223669.

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.