The temperatures of the n-th active elements of the LPIEC can be described here by the recurrence relation
This binary sequence is generated using the recurrence relation
of the form as in the equation 1.
Firstly, we find a recurrence relation
for the generating function [F.
We remark that the coefficients of a, b, c in the leftmost color (as well as in the middle and in the rightmost colors), satisfy a recurrence relation
similar to the one [x.
To compute the first few values of these numbers, the following recurrence relation
was obtained in :
3), the coefficients of the three-term recurrence relation
subject to the weight function [([[pi].
Further the results are deduced for moments of order statistics and lower record values and characterization of this distribution has been considered on using conditional expectation of function of lower generalized order statistics and a recurrence relation
for single moments.
One should be tempted to use the recurrence relation
The sequence of Lucas polynomials is a sequence of polynomials defined by the recurrence relation
m], and satisfying the three term recurrence relation
d} avoiding words with "12" as substring is equal to a(n), a recursive sequence with initial terms a(0) = 1, a(1) = d and recurrence relation
We consider a linear homogeneous recurrence relation
with constant coefficients