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I need help solving this task, if anyone have similar problem, it would help me.

$\sum\limits_{i=0}^{673} \binom{2019}{3i}$

More precisely I don't know how to start at all, any help is welcome.

Thanks in advance !

LogicNotFound
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    This may be useful: https://math.stackexchange.com/questions/213583/show-that-sum-k-0n-binom3n3k-frac8n2-1n3 – JC12 Sep 16 '20 at 07:18
  • https://math.stackexchange.com/questions/3384818/how-to-calculate-the-binomial-sum-s-mathop-sum-limits-i-0-lfloor-fracn – lab bhattacharjee Sep 16 '20 at 07:41

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