  This paper proposes another constant that can be associated with Fibonacci
sequence. In this work, we look at the probability distributions generated by
the linear convolution of Fibonacci sequence with itself, and the linear
convolution of symmetrized Fibonacci sequence with itself. We observe that for
a distribution generated by the linear convolution of the standard Fibonacci
sequence with itself, the variance converges to 8.4721359... . Also, for a
distribution generated by the linear convolution of symmetrized Fibonacci
sequences, the variance converges in an average sense to 17.1942 ..., which is
approximately twice that we get with common Fibonacci sequence.
