OFFSET
1,1
COMMENTS
Column 3 of A224676.
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5) for n>6.
Conjectures from Colin Barker, Feb 17 2018: (Start)
G.f.: x*(41 - 88*x + 9*x^2 + 77*x^3 - 41*x^4 + x^5) / ((1 - x)^3*(1 - x - x^2)).
a(n) = 5 + (2^(-1-n)*((1-sqrt(5))^n*(-19+29*sqrt(5)) + (1+sqrt(5))^n*(19+29*sqrt(5)))) / sqrt(5) + 4*(1+n) + (1+n)*(2+n)/2 for n>1.
(End)
EXAMPLE
Some solutions for n=3:
..1..1..1..0....1..0..1..0....1..1..1..2....0..0..0..0....1..1..0..0
..0..0..0..0....1..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..1..1..1....0..0..1..0....0..0..0..1....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..1..0....0..0..0..1....0..0..0..0....0..0..0..1
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 14 2013
STATUS
approved