darkhistory.utilities.bernoulli

darkhistory.utilities.bernoulli(k)

The kth Bernoulli number.

This function is written as a look-up table for the first few Bernoulli numbers for speed. The Bernoulli number definition we use is:

\[\frac{x}{e^x - 1} \equiv \sum_{n = 0}^\infty \frac{B_n x^n}{n!} \,.\]

Parameters:

kint

The Bernoulli number to return.

Returns:

float

The kth Bernoulli number.