New posts in Recurrence Relations

A summation of a series based on the Fibonacci sequence.

Let $b_{n}$ denote the number of compositions of $n$ into $k$ parts, where each part is one or two. Find the generating series for $b_{n}$

How many nonnegative integers $x_1, x_2, x_3, x_4$ satisfy $2x_1 + x_2 + x_3 + x_4 = n$?

Derive the recurrence relations

Closed form solution to recurrence: $g(n)=(k-2)g(n-1)+(k-1)g(n-2)$

Closed form of recurrence relation $a_k=(n+k)a_{k-1}-ka_{k-2}$

Why does the difference equation $x_nx_{n+2}=w^5x_n-(w^2+w^3)x_{n+1}+x_{n+2}$ generate cyclic sequences?

Fibonacci recurrence relation - Principle of Mathematical Induction

Limit associated with a recursion, connection to normality of quadratic irrationals

Finding $a_n$ when $a_1=5$, $a_n a_{n+1}=2a_n-1$ $(n \in \mathbb{N})$ (Question Edited)