How to find the limit of this recurrence relation – math.stackexchange.com

How to find the limit of this recurrence relation – math.stackexchange.com

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I am trying to solve a question which requires me to solve this problem. Given that $a_0=a_1=a_2=a_3=a_4=0$ and $a_5=1$ and $$a_{n+6}=\dfrac{a_{n+5}+a_{n+4}+a_{n+3}+a_{n+2}+a_{n+1}+a_{n}}{6}$$ ...

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