A251273 Number of (6+1)X(n+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01

3268, 37772, 273607, 1457326, 6247708, 22806904, 73607411, 215673388, 585010044, 1491014836, 3612638417, 8399798586, 18886662616, 41329088816, 88489078029, 186209112216, 386557846820, 794103892572, 1618422517619, 3279033220486

Offset

1,1

Comments

Row 6 of A251268

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -104*a(n-2) +442*a(n-3) -1287*a(n-4) +2717*a(n-5) -4290*a(n-6) +5148*a(n-7) -4719*a(n-8) +3289*a(n-9) -1716*a(n-10) +650*a(n-11) -169*a(n-12) +27*a(n-13) -2*a(n-14)

Example

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

Crossrefs

Sequence in context: A286008 A220594 A101706 * A184204 A031820 A048959

Adjacent sequences: A251270 A251271 A251272 * A251274 A251275 A251276

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved