A188447 Number of (5*n) X n binary arrays with nonzero rows in decreasing order and 5 ones in every column.

1, 0, 0, 0, 205, 250735, 425677958, 1184910460297, 5319037255069867, 37061043058189077109, 385952934535384722609921, 5808709067366205646755198576, 122705633165265276505954301866183, 3547341635706102198376777462145800378, 137294155514669462885867305539515979061866

Offset

0,5

Links

Andrew Howroyd, Table of n, a(n) for n = 0..40

Example

Some solutions for 20 X 4:
  1 1 1 1     1 1 1 0     1 1 1 1     1 1 1 0     1 1 0 1
  1 1 1 0     1 1 0 1     1 1 0 1     1 1 0 1     1 0 1 1
  1 1 0 1     1 0 1 1     1 1 0 0     1 0 1 1     1 0 1 0
  1 0 1 1     1 0 1 0     1 0 1 0     1 0 1 0     1 0 0 1
  1 0 0 0     1 0 0 1     1 0 0 1     1 0 0 0     1 0 0 0
  0 1 1 0     0 1 1 0     0 1 1 0     0 1 1 1     0 1 1 1
  0 1 0 1     0 1 0 1     0 1 0 1     0 1 1 0     0 1 1 0
  0 0 1 1     0 1 0 0     0 0 1 1     0 1 0 1     0 1 0 1
  0 0 0 0     0 0 1 1     0 0 1 0     0 0 0 1     0 1 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 1 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0
  0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0     0 0 0 0

Crossrefs

Row 5 of A188445.

Sequence in context: A289333 A015289 A203888 * A252278 A252271 A080529

Adjacent sequences: A188444 A188445 A188446 * A188448 A188449 A188450

Keyword

nonn

Author

R. H. Hardin, Mar 31 2011

Extensions

a(0)=1 prepended and terms a(9) and beyond from Andrew Howroyd, Dec 15 2018

Status

approved