A202934 Number of (n+3) X 6 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column.

104976, 153874, 225858, 330853, 481798, 695114, 991196, 1394929, 1936228, 2650602, 3579742, 4772133, 6283690, 8178418, 10529096, 13417985, 16937560, 21191266, 26294298, 32374405, 39572718, 48044602, 57960532, 69506993, 82887404

Offset

1,1

Comments

Column 3 of A202939.

Links

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

Formula

Empirical: a(n) = (1/30)*n^6 + (16/5)*n^5 + (875/12)*n^4 + (2116/3)*n^3 + (103801/20)*n^2 + (407932/15)*n + 71809.

Conjectures from Colin Barker, Jun 03 2018: (Start)

G.f.: x*(104976 - 580958*x + 1353236*x^2 - 1692959*x^3 + 1197415*x^4 - 453495*x^5 + 71809*x^6) / (1 - x)^7.

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7.

(End)

Example

Some solutions for n=2:
..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..1..1....0..0..1..0..1..0....0..0..1..1..0..0....0..0..0..1..0..1
..0..1..1..1..1..1....0..0..1..1..1..1....0..0..1..1..0..1....0..0..1..0..1..0
..0..0..1..0..1..0....0..0..1..1..1..1....0..0..1..0..0..1....0..0..1..0..0..0
..0..0..1..0..1..1....0..0..1..1..1..0....0..0..0..0..1..0....0..0..0..1..1..0

Crossrefs

Cf. A202939.

Sequence in context: A186877 A304283 A138165 * A203822 A013889 A353553

Adjacent sequences: A202931 A202932 A202933 * A202935 A202936 A202937

Keyword

nonn

Author

R. H. Hardin, Dec 26 2011

Status

approved