19 lines
813 B
Plaintext
19 lines
813 B
Plaintext
In mathematics, Faulhaber's formula, named after Johann Faulhaber, expresses the sum of the ''p''-th powers of the first ''n'' positive integers as a ''(p + 1)''th-degree polynomial function of n, the coefficients involving [[Bernoulli numbers]].
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;Task:
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Generate the first 10 closed-form expressions, starting with ''p = 0''.
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;Related tasks:
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:* [[Bernoulli numbers]].
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:* [[Evaluate_binomial_coefficients|evaluate binomial coefficients]].
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;See also:
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:* The Wikipedia entry: [[wp:Faulhaber's formula|Faulhaber's formula]].
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:* The Wikipedia entry: [https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers].
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:* The Wikipedia entry: [https://en.wikipedia.org/wiki/Binomial_coefficient binomial coefficients].
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<br><br>
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