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A202933 Number of (n+3) X 5 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column. 1
83521, 113856, 153874, 206145, 273683, 359970, 468980, 605203, 773669, 979972, 1230294, 1531429, 1890807, 2316518, 2817336, 3402743, 4082953, 4868936, 5772442, 6806025, 7983067, 9317802, 10825340, 12521691, 14423789, 16549516, 18917726 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A202939.

LINKS

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

FORMULA

Empirical: a(n) = (1/5)*n^5 + (31/2)*n^4 + (781/3)*n^3 + 2874*n^2 + (589559/30)*n + 60719.

Conjectures from Colin Barker, Jun 02 2018: (Start)

G.f.: x*(83521 - 387270*x + 723553*x^2 - 679679*x^3 + 320618*x^4 - 60719*x^5) / (1 - x)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6.

(End)

EXAMPLE

Some solutions for n=3:

..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..1..1..1..0....1..1..1..1..1....0..1..1..0..1....0..1..0..1..0

..0..1..0..0..0....0..1..0..0..1....0..0..1..0..1....0..1..1..0..1

..1..1..1..1..1....0..0..0..1..0....0..0..1..0..1....0..0..0..0..0

..0..1..0..1..0....0..0..1..1..0....0..0..1..1..0....0..1..1..1..0

CROSSREFS

Cf. A202939.

Sequence in context: A233925 A032752 A104928 * A013885 A205197 A203395

Adjacent sequences:  A202930 A202931 A202932 * A202934 A202935 A202936

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2011

STATUS

approved

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Last modified August 9 07:19 EDT 2022. Contains 356019 sequences. (Running on oeis4.)