login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A300678
Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1
1, 10, 11, 28, 80, 245, 729, 2604, 8579, 27943, 95535, 322511, 1083870, 3675083, 12455625, 42129388, 142706185, 483725646, 1638434358, 5551260311, 18812259092, 63741708473, 215983981369, 731885089125, 2480017406380, 8403581958869
OFFSET
1,2
COMMENTS
Column 4 of A300682.
FORMULA
Empirical recurrence of order 82 (see link above)
EXAMPLE
Some solutions for n=5
..0..0..0..1. .0..1..1..0. .0..0..0..0. .0..0..1..1. .0..0..0..1
..0..1..0..0. .1..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..0..0
..1..1..0..1. .1..1..0..1. .0..1..0..0. .0..0..0..0. .1..1..0..1
..1..0..1..1. .1..0..0..1. .0..0..1..1. .0..1..1..0. .0..1..0..0
..0..0..1..0. .1..1..1..1. .0..1..1..0. .1..1..0..0. .1..1..0..0
CROSSREFS
Cf. A300682.
Sequence in context: A136833 A355631 A056067 * A086458 A179856 A098795
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 11 2018
STATUS
approved