TITLE: What is the name for a polynomial with all coefficients equal to 1?
QUESTION [5 upvotes]: I am looking for a good google search word for polynomials that have
all coefficients equal to 1.
An example of a such polynomial is:
$$1+x^{23}+x^{57}+x^{101}$$
One such polynomial could also be the special case which is the truncated geometric series:
$$\sum\limits_{n=0}^{n=k} x^n$$
but I am more interested in the irregular form as in the example.
What is the name for a polynomial with all coefficients equal to 1?

REPLY [4 votes]: It's called a polynomial with $0$, $1$ coefficients, or a polynomial with coefficients from $\{0,1\}$.
A polynomial with all coefficients equal to $1$ would be of the form $1+x+x^2+\cdots+x^{n-1}+x^n$.