Sir recurent de numere naturale

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mihai++
Bernoulli
Posts: 206
Joined: Wed Nov 28, 2007 8:08 pm
Location: Focsani

Sir recurent de numere naturale

Post by mihai++ »

Fie sirul \( (a_n)_{n\geq0} \) dat de: \( a_0=a_1=1 \) si \( (n+3)a_{n+1}=(2n+3)a_n+3na_{n-1},\forall n\geq1 \). Demonstrati ca \( a_n\in \mathbb{N}, \forall n \).
n-ar fi rau sa fie bine :)
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