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infinite_geometric_series [2016/07/22 15:20]
nikolaj
infinite_geometric_series [2019/09/23 21:19] (current)
nikolaj
Line 38: Line 38:
  
 See also [[Niemand sequences]]. See also [[Niemand sequences]].
 +
 +== Powers ==
 +<​code>​
 +Sum[Binomial[-s,​ k] x^k, {k, 0, \[Infinity]}]
 +Series[(1 - x)^-s, {x, 0, 4}]
 +Binomial[-s,​ 3];
 +% - (-s)!/(3! ((-s) - 3)!) // FullSimplify
 +%% + 1/6 (2 s + 3 s^2 + s^3) // FullSimplify
 +</​code>​
  
 === References === === References ===
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