A304137 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

1, 13, 9, 11, 20, 17, 25, 62, 59, 93, 220, 237, 381, 830, 991, 1601, 3236, 4185, 6769, 12894, 17715, 28661, 52204, 75029, 121397, 213918, 317815, 514233, 884532, 1346273, 2178313, 3682046, 5702891, 9227469, 15402748, 24157821, 39088173

Offset

1,2

Comments

Column 4 of A304141.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-3) -6*a(n-4) +3*a(n-6) for n>10

Example

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

Crossrefs

Cf. A304141.

Sequence in context: A301825 A300377 A300679 * A305043 A066552 A206609

Adjacent sequences: A304134 A304135 A304136 * A304138 A304139 A304140

Keyword

nonn

Author

R. H. Hardin, May 07 2018

Status

approved