A228981 Number of nX3 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..1 array.

8, 64, 512, 3928, 29808, 224720, 1690048, 12696384, 95336800, 715737824, 5372913760, 40331981728, 302748672960, 2272541936960, 17058477027072, 128046595918720, 961159748107520, 7214778569757312, 54156475472054656

Offset

1,1

Comments

Column 3 of A228986.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -34*a(n-2) -16*a(n-3) +152*a(n-4) -116*a(n-5) -88*a(n-6) +136*a(n-7) -172*a(n-8) +168*a(n-9) -40*a(n-10) +32*a(n-11).

Example

Some solutions for n=4
..0..0..0....0..1..1....0..0..1....0..1..0....1..0..0....1..1..1....0..1..0
..1..1..1....0..1..0....0..1..1....0..0..0....1..0..1....1..1..1....0..0..1
..0..1..0....0..0..1....1..1..1....0..0..0....1..0..0....0..0..1....1..0..1
..0..1..0....1..0..0....1..1..0....1..0..1....1..1..1....0..1..1....1..1..0

Crossrefs

Sequence in context: A189337 A262335 A221664 * A222388 A222937 A269618

Adjacent sequences: A228978 A228979 A228980 * A228982 A228983 A228984

Keyword

nonn

Author

R. H. Hardin, Sep 10 2013

Status

approved