MathDB

The sequence

(a_{n})_{n\geq 1}

is defined by a_{1} \equal{} 1, a_{2} \equal{} 3, and a_{n \plus{} 2} \equal{} (n \plus{} 3)a_{n \plus{} 1} \minus{} (n \plus{} 2)a_{n}, \forall n \in \mathbb{N}. Find all values of

n

for which

a_{n}

is divisible by

11

Problem Statement