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

1,1

Comments

Column 5 of A180985

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)+28048800*a(n-9)-64512240*a(n-10)+129024480*a(n-11)-225792840*a(n-12)+347373600*a(n-13)-471435600*a(n-14)+565722720*a(n-15)-601080390*a(n-16)+565722720*a(n-17)-471435600*a(n-18)+347373600*a(n-19)-225792840*a(n-20)+129024480*a(n-21)-64512240*a(n-22)+28048800*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)

Example

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

Crossrefs

Sequence in context: A005011 A187814 A009122 * A317410 A094869 A178824

Adjacent sequences: A184137 A184138 A184139 * A184141 A184142 A184143

Keyword

nonn

Author

R. H. Hardin Jan 09 2011

Status

approved