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A202456 Number of (n+2) X 5 binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column. 1
1000, 1876, 3362, 5735, 9338, 14586, 21972, 32073, 45556, 63184, 85822, 114443, 150134, 194102, 247680, 312333, 389664, 481420, 589498, 715951, 862994, 1033010, 1228556, 1452369, 1707372, 1996680, 2323606, 2691667, 3104590, 3566318, 4081016 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A202461.

LINKS

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

FORMULA

Empirical: a(n) = (1/20)*n^5 + 2*n^4 + (275/12)*n^3 + 113*n^2 + (10351/30)*n + 517.

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

G.f.: x*(1000 - 4124*x + 7106*x^2 - 6297*x^3 + 2838*x^4 - 517*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=4:

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

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

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

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

CROSSREFS

Cf. A202461.

Sequence in context: A004265 A004266 A004267 * A168650 A043491 A100988

Adjacent sequences:  A202453 A202454 A202455 * A202457 A202458 A202459

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2011

STATUS

approved

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Last modified July 18 21:23 EDT 2018. Contains 312765 sequences. (Running on oeis4.)