OFFSET
1,2
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
Matthew Blair, Rigoberto Flórez, and Antara Mukherjee, Honeycombs in the Pascal triangle and beyond, arXiv:2203.13205 [math.HO], 2022.
FORMULA
Empirical: a(n) = 8*a(n-1) - 16*a(n-2) for n>3.
a(n) = 4*a(n-1) + 4^(n-1) for n > 2. - Gerald Hillier, May 01 2018
a(n) = (2n - 1)*2^(2n - 3) for n > 1 [Gerson W. Barbosa]. - Gerald Hillier, May 02 2018
Empirical g.f.: x*(1 - 2*x + 8*x^2) / (1 - 4*x)^2. - Colin Barker, May 02 2018
Empirical: a(n) = Integral_{t>0} dt/Beta(n-t,n+t) for n > 1. - Gregory Gerard Wojnar, Feb 10 2024
EXAMPLE
Some solutions for n=3:
0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0
0 0 2 0 0 1 0 2 1 0 2 2 1 2 2 1 0 2 1 2
1 0 0 2 1 2 1 1 2 1 1 0 0 1 0 0 0 0 0 2
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 26 2013
STATUS
approved