Faulhaber's formula: Difference between revisions
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=={{header|Python}}== |
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The following implementation does not use [https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers], but [https://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind Stirling numbers of the second kind], based on the relation: <math>m^n=\sum_{k=0}^n S_n^k (m)_k=\sum_{k=0}^n S_n^k k!{m\choose k}</math>. |
The following implementation does not use [https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers], but [https://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind Stirling numbers of the second kind], based on the relation: <math>m^n=\sum_{k=0}^n S_n^k (m)_k=\sum_{k=0}^n S_n^k k!{m\choose k}</math>. |