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A202457 Number of (n+2) X 6 binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column. 1
1331, 2835, 5735, 10918, 19614, 33468, 54618, 85779, 130333, 192425, 277065, 390236, 539008, 731658, 977796, 1288497, 1676439, 2156047, 2743643, 3457602, 4318514, 5349352, 6575646, 8025663, 9730593, 11724741, 14045725, 16734680 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A202461.

LINKS

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

FORMULA

Empirical: a(n) = (1/120)*n^6 + (17/40)*n^5 + (27/4)*n^4 + (1195/24)*n^3 + (22769/120)*n^2 + (28277/60)*n + 613.

Conjectures from Colin Barker, May 31 2018: (Start)

G.f.: x*(1331 - 6482*x + 13841*x^2 - 16277*x^3 + 10983*x^4 - 4003*x^5 + 613*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=5:

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

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

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

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

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

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

CROSSREFS

Cf. A202461.

Sequence in context: A182371 A252258 A038677 * A252347 A295900 A030100

Adjacent sequences:  A202454 A202455 A202456 * A202458 A202459 A202460

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2011

STATUS

approved

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Last modified July 18 06:57 EDT 2018. Contains 312735 sequences. (Running on oeis4.)