A297222 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

9, 69, 535, 4210, 33158, 261939, 2063378, 16277793, 128351805, 1012130530, 7981569963, 62939687472, 496326792470, 3913894569563, 30863877179841, 243384068190066, 1919259204181410, 15134747411461711, 119348431276698530

Offset

1,1

Comments

Column 6 of A297224.

Links

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

Formula

Empirical: a(n) = a(n-1) +34*a(n-2) +146*a(n-3) +141*a(n-4) -184*a(n-5) -461*a(n-6) +413*a(n-7) -498*a(n-8) -119*a(n-9) +408*a(n-10) +144*a(n-11) for n>13

Example

Some solutions for n=5
..0..1..1..0..0..1. .0..0..0..0..0..0. .1..1..0..0..1..1. .0..1..0..0..0..0
..0..0..0..0..1..0. .1..1..0..0..0..0. .0..0..0..0..0..0. .1..0..1..1..0..0
..1..1..0..0..1..0. .0..1..1..0..0..0. .0..0..0..0..0..0. .0..0..0..0..1..1
..0..0..0..1..0..0. .0..0..0..0..0..1. .0..0..0..0..0..1. .0..1..1..0..0..0
..1..1..0..0..0..0. .0..1..1..0..1..0. .0..1..1..0..1..0. .0..0..1..1..0..0

Crossrefs

Cf. A297224.

Sequence in context: A081616 A299915 A287818 * A126530 A351810 A152273

Adjacent sequences: A297219 A297220 A297221 * A297223 A297224 A297225

Keyword

nonn

Author

R. H. Hardin, Dec 27 2017

Status

approved