A305036 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.

8, 5, 7, 19, 26, 61, 143, 277, 568, 1244, 2600, 5369, 11341, 23905, 49970, 104796, 220286, 462165, 969275, 2034517, 4270128, 8959604, 18801136, 39456489, 82798877, 173748993, 364613994, 765145940, 1605646822, 3369435285, 7070757515

Offset

1,1

Comments

Column 4 of A305040.

Links

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

Formula

Empirical: a(n) = a(n-1) +5*a(n-3) +a(n-4) -4*a(n-6) -4*a(n-7) for n>11

Example

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

Crossrefs

Cf. A305040.

Sequence in context: A265303 A021925 A227514 * A357106 A119812 A153799

Adjacent sequences: A305033 A305034 A305035 * A305037 A305038 A305039

Keyword

nonn

Author

R. H. Hardin, May 24 2018

Status

approved