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A184140 Number of nX5 binary arrays with rows and columns in nondecreasing order 1
6, 41, 336, 2942, 24520, 183010, 1202234, 6979061, 36211867, 170079565, 731624096, 2911895183, 10815978253, 37768115174, 124748330554, 391810133592, 1175449312215, 3381493985527, 9359644588182, 25000202714062, 64609485660764 (list; graph; refs; listen; history; text; internal format)
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 * A094869 A178824 A006198

Adjacent sequences:  A184137 A184138 A184139 * A184141 A184142 A184143

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 09 2011

STATUS

approved

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Last modified July 25 09:00 EDT 2014. Contains 244900 sequences.