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Show that (C(0))/(1) - (C(1))/(4) + (C...

Show that ` (C_(0))/(1) - (C_(1))/(4) + (C_(2))/(7) - … + (-1)^(n) (C_(n))/(3n +1)` ` = (3^(n) * n!)/(1*4*7…(3n+1))`, where ` C_(r)` stands for ` ""^(n)C_(r)` .

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