A317513 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

8, 128, 2032, 32256, 512096, 8130048, 129072576, 2049155072, 32532368768, 516483614720, 8199689547520, 130178202673152, 2066708056827392, 32811039824240640, 520907793817967616, 8269927777778991104

Offset

1,1

Comments

Column 4 of A317517.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -6*a(n-2) +64*a(n-3)

Example

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

Crossrefs

Cf. A317517.

Sequence in context: A303417 A303423 A301403 * A300178 A013777 A183497

Adjacent sequences: A317510 A317511 A317512 * A317514 A317515 A317516

Keyword

nonn

Author

R. H. Hardin, Jul 30 2018

Status

approved