A184140 Number of nX5 binary arrays with rows and columns in nondecreasing order.

6, 41, 336, 2942, 24520, 183010, 1202234, 6979061, 36211867, 170079565, 731624096, 2911895183, 10815978253, 37768115174, 124748330554, 391810133592, 1175449312215, 3381493985527, 9359644588182, 25000202714062, 64609485660764

Offset: 1

Author

R. H. Hardin Jan 09 2011

Keywords

• nonn

Comments

Column 5 of A180985

Examples

			Some solutions for 3X5
..0..0..1..1..1....0..1..1..1..1....0..0..1..1..1....0..0..0..0..1
..0..1..0..1..1....1..0..0..0..0....0..1..0..0..0....0..1..1..1..1
..1..1..0..0..1....1..1..1..1..1....1..1..1..1..1....1..0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=32*a(n-1)-496*a(n-2)+4960*a(n-3)-35960*a(n-4)+201376*a(n-5)-906192*a(n-6)+3365856*a(n-7)-10518300*a(n-8)[phone]*a(n-9)-64512240*a(n-10)[phone]*a(n-11)-225792840*a(n-12)[phone]*a(n-13)-471435600*a(n-14)[phone]*a(n-15)-601080390*a(n-16)[phone]*a(n-17)-471435600*a(n-18)[phone]*a(n-19)-225792840*a(n-20)[phone]*a(n-21)-64512240*a(n-22)[phone]*a(n-23)-10518300*a(n-24)+3365856*a(n-25)-906192*a(n-26)+201376*a(n-27)-35960*a(n-28)+4960*a(n-29)-496*a(n-30)+32*a(n-31)-a(n-32) (=polynomial degree 31)