A317762 Number of nX6 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

32, 89, 100, 127, 177, 266, 425, 709, 1217, 2126, 3753, 6666, 11882, 21223, 37952, 67914, 121578, 217696, 389856, 698220, 1250549, 2239862, 4011891, 7185904, 12871122, 23054360, 41294363, 73965487, 132485357, 237305006, 425055936

Offset

1,1

Comments

Column 6 of A317764.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) +a(n-7) for n>10

Example

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

Crossrefs

Cf. A317764.

Sequence in context: A229721 A184029 A184021 * A318341 A318073 A279713

Adjacent sequences: A317759 A317760 A317761 * A317763 A317764 A317765

Keyword

nonn

Author

R. H. Hardin, Aug 06 2018

Status

approved