login
A221415
Number of n X 4 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.
1
4, 29, 226, 1766, 13794, 107695, 840673, 6561928, 51218473, 399777826, 3120396286, 24355691434, 190103915555, 1483821378069, 11581696324348, 90398811127357, 705591374468222, 5507364322727938, 42986724144662890, 335525006918408343
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) - 15*a(n-2) - 19*a(n-3) + 17*a(n-4) + 12*a(n-5) - a(n-6) + a(n-7).
Empirical g.f.: x*(4 - 11*x - 4*x^2 + 17*x^3 + 7*x^4 - 2*x^5 + x^6) / (1 - 10*x + 15*x^2 + 19*x^3 - 17*x^4 - 12*x^5 + x^6 - x^7). - Colin Barker, Aug 05 2018
EXAMPLE
Some solutions for n=3:
..2..2..2..0....0..2..2..0....0..2..0..0....0..2..0..2....0..2..0..2
..0..2..0..0....0..2..0..0....2..0..2..2....0..2..2..0....2..0..2..0
..0..0..2..2....2..2..2..0....0..2..2..0....2..0..2..0....2..0..0..2
CROSSREFS
Column 4 of A221419.
Sequence in context: A135429 A079756 A344098 * A087809 A140526 A151343
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 15 2013
STATUS
approved