A184209 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock sum greater than 6.

106, 1036, 9247, 85600, 782637, 7189899, 65937529, 605100146, 5551579376, 50938410285, 467368565920, 4288240391723, 39345646886265, 361006503721815, 3312326008509618, 30391436683307908, 278849163985769031

Offset

1,1

Comments

Column 1 of A184217.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 6*a(n-1) + 35*a(n-2) - 37*a(n-3) - 160*a(n-4) + 36*a(n-5) + 144*a(n-6).

Empirical g.f.: x*(106 + 400*x - 679*x^2 - 2220*x^3 + 684*x^4 + 2160*x^5) / (1 - 6*x - 35*x^2 + 37*x^3 + 160*x^4 - 36*x^5 - 144*x^6). - Colin Barker, Apr 12 2018

Example

Some solutions for 3 X 2:
..3..3....0..2....3..1....1..3....2..1....1..2....2..1....2..3....0..3....1..3
..3..3....2..3....2..1....0..3....3..2....3..1....3..2....1..3....3..1....2..2
..0..1....3..2....3..2....2..3....2..0....2..2....1..2....1..3....3..3....1..2

Crossrefs

Cf. A184217.

Sequence in context: A051974 A188837 A184217 * A233047 A206755 A200969

Adjacent sequences: A184206 A184207 A184208 * A184210 A184211 A184212

Keyword

nonn

Author

R. H. Hardin, Jan 10 2011

Status

approved