OFFSET
1,1
COMMENTS
Column 4 of A302680.
Empirical: The antidiagonal sums of A084534 lead to the terms of this sequence for n >= 5. - Johannes W. Meijer, Jun 17 2018
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = a(n-1) + 2*a(n-2) - a(n-4) for n > 8.
Empirical g.f.: x*(5 - 3*x^2 - 2*x^3 - 6*x^4 - 4*x^5 + 3*x^6 + 2*x^7) / (1 - x - 2*x^2 + x^4). - Colin Barker, Jun 17 2018
The data in the range n = 6..210 is matched by h(n) = hypergeom([-n+1, -(1/2)*n, 1/4-(1/2)*n, -(1/2)*n+1/2, -(1/2)*n+3/4], [-n, -(2/3)*n+1, -(2/3)*n+2/3, -(2/3)*n+1/3], -256/27). - Peter Luschny, Aug 24 2018
EXAMPLE
Some solutions for n=5:
0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1
0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1
0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 11 2018
STATUS
approved