  We construct the Feigin-Stoyanovsky (combinatorial) basis in case of
one-dimensional lattice vertex superalgebras $V_{\sqrt{N}\,\mathbb{Z}}$. Our
proof is based on invariance of semi-infinite monomials linear span under
action of corresponding Heisenberg algebra. Semi-infinite monomials are
parametrized by natural generalization of Maya diagrams $\unicode{x2013}$
Fibonacci configurations on $\mathbb{Z}$, which allows us to construct a
desired basis with character considerations. We also discuss some related
questions such as functional realization of basic subspace's dual and
representational proof of Feigin-Stoyanovsky construction in case of
$V_{\sqrt{2}\,\mathbb{Z}}$.
