A297223 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

13, 145, 1513, 16658, 178469, 1918732, 20599895, 221333623, 2377449633, 25538644681, 274338521973, 2946944060015, 31656188524253, 340051734132151, 3652845905487029, 39238984432264619, 421506370243881833

Offset

1,1

Comments

Column 7 of A297224.

Links

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

Formula

Empirical: a(n) = a(n-1) +60*a(n-2) +410*a(n-3) +804*a(n-4) -206*a(n-5) -4210*a(n-6) -136*a(n-7) -4099*a(n-8) -6059*a(n-9) +20146*a(n-10) +14506*a(n-11) -16052*a(n-12) +4656*a(n-13) -228*a(n-14) -100*a(n-15) +12*a(n-16) for n>21

Example

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

Crossrefs

Cf. A297224.

Sequence in context: A354466 A038492 A270579 * A199023 A152585 A014881

Adjacent sequences: A297220 A297221 A297222 * A297224 A297225 A297226

Keyword

nonn

Author

R. H. Hardin, Dec 27 2017

Status

approved