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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A025308

Adjacent sequences:  A202931 A202932 A202933 * A202935 A202936 A202937

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2011

STATUS

approved

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Last modified November 17 16:08 EST 2019. Contains 329241 sequences. (Running on oeis4.)