A224406 Number of n X 5 0..1 arrays with rows unimodal and antidiagonals nondecreasing.

16, 101, 465, 1928, 7812, 31710, 129402, 529846, 2172346, 8908986, 36534670, 149811438, 614276002, 2518688490, 10327233902, 42344211246, 173621959826, 711894378346, 2918949452350, 11968441441998, 49073678703842

Offset: 1

Author

R. H. Hardin, Apr 05 2013

Keywords

• nonn

Comments

Column 5 of A224409.

Examples

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

Links

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

Crossrefs

Cf. A224409.

Formula

Empirical: a(n) = 6*a(n-1) - 9*a(n-2) + 4*a(n-3) + 2*a(n-4) + 8*a(n-5).

Empirical g.f.: x*(1 - x)*(16 + 21*x + 24*x^2 + 7*x^3) / (1 - 6*x + 9*x^2 - 4*x^3 - 2*x^4 - 8*x^5). - Colin Barker, Aug 30 2018