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Sir recurent de numere naturale
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Sir recurent de numere naturale
Posted:
Tue Dec 16, 2008 2:45 pm
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
\( a_n\in \mathbb{N}, \forall n \)
.