OFFSET
0,2
COMMENTS
The thickness of a polynomial f(x) is the magnitude of the largest coefficient in the expansion of f(x)^2.
Is the limit a(n)/2^(n-1) defined? Is the limit nonzero?
LINKS
Martin Ehrenstein, Table of n, a(n) for n = 0..42
EXAMPLE
For n = 3, there are a(3) = 5 such polynomials:
f(x) | th(f(x)) | th(x*f(x)+1)
------------------+----------+-------------
1 + x + x^2 + x^3 | 4 | 5
1 + x^2 + x^3 | 2 | 4
1 + x + x^3 | 2 | 3
x + x^3 | 2 | 3
x^3 | 1 | 2
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Kagey, Jun 16 2021
EXTENSIONS
Offset corrected and more terms added by Martin Ehrenstein, Jun 19 2021
STATUS
approved