In mathematics, &nbsp; Faulhaber's formula, &nbsp; named after Johann Faulhaber, &nbsp; expresses the sum of the ''p''-th powers of the first ''n'' positive integers as a ''(p + 1)''th-degree polynomial function of n, &nbsp; the coefficients involving [[Bernoulli numbers]].


;Task:
Generate the first 10 closed-form expressions, starting with ''p = 0''.


;Related tasks:
:* &nbsp; [[Bernoulli numbers]].
:* &nbsp; [[Evaluate_binomial_coefficients|evaluate binomial coefficients]].


;See also:
:* &nbsp; The Wikipedia entry: &nbsp; [[wp:Faulhaber's formula|Faulhaber's formula]].
:* &nbsp; The Wikipedia entry: &nbsp; [https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers].
:* &nbsp; The Wikipedia entry: &nbsp; [https://en.wikipedia.org/wiki/Binomial_coefficient binomial coefficients].
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