Category:Bernoulli numbers

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The Bernoulli numbers Bm are a sequence of rational numbers defined by the identity

\sum_{j=0}^m {{m+1}\choose{j}} B_j = 0

with the initial condition B0 = 1. Here, {{n}\choose{k}} denotes a binomial coefficient. The sequence, which continues -1/2, 1/6, 0, -1/30, 0, 1/42, ..., obeys no simple pattern, and computing Bm for m as small as a few hundred is a relatively time-consuming task.


Articles in category "Bernoulli numbers"

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