login
A220558
Number of ways to reciprocally link elements of an n X 4 array either to themselves or to exactly one horizontal or antidiagonal neighbor.
1
5, 47, 430, 3966, 36640, 338581, 3128843, 28913910, 267196106, 2469184016, 22817958901, 210862878471, 1948603453870, 18007225586854, 166406444930000, 1537777420552101, 14210744037917219, 131322806156626838
OFFSET
1,1
COMMENTS
Column 4 of A220562.
LINKS
FORMULA
Empirical: a(n) = 11*a(n-1) - 17*a(n-2) + 7*a(n-3) - a(n-4).
Empirical g.f.: x*(5 - 8*x - 2*x^2) / (1 - 11*x + 17*x^2 - 7*x^3 + x^4). - Colin Barker, Jul 31 2018
EXAMPLE
Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10):
..0..0..6..4....6..4..0..0....0..7..0..0....0..0..6..4....0..7..7..7
..6..4..6..4....0..6..4..0....3..0..6..4....0..0..0..0....3..3..3..7
..0..6..4..0....0..0..0..0....6..4..6..4....6..4..0..0....6..4..3..0
CROSSREFS
Cf. A220562.
Sequence in context: A198854 A200814 A181582 * A241372 A124267 A124450
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 16 2012
STATUS
approved