It is interesting to note that there are already classical formulas expressing the

Bernoulli number in terms of Stirling numbers such as

Kim, An explicit formula on the generalized

Bernoulli number with order n, Indian J.

j] is the j-th

Bernoulli number, [alpha] > 0 and [beta] > 0 satisfy [alpha][beta] = [[pi].

For the second edition he has corrected errors; clarified some confusion; and added new problems on

Bernoulli numbers, metric spaces, and differential equations.

represent the

Bernoulli numbers 1, -1/2, 1/6, 0, -1/30, 0, 1/42, 0, -1/30, 0, .

They included a way to calculate

Bernoulli numbers (a mathematical sequence of numbers) using the machine.

Determinant expressions for q-harmonic congruences and degenerate

Bernoulli numbers.

k](0), k[greater than or equal to]0, the

Bernoulli numbers.

In just four months, Mohamed Altoumaimi found a formula to explain and simplify the so-called

Bernoulli numbers, a sequence of calculations connected to numbe theory named after the 17th century Swiss mathematician Jacob Bernoulli, the Dagens Nyheter daily said.

Faulhaber was an excellent mathematician, who among other things published the first 16

Bernoulli numbers in 1631 [18, p.

Stein appeals to graduates, advanced undergraduates and non-specialists in number theory as be describes the modular forms of weights and levels, Dirichlet characters, Eisenstein series and

Bernoulli numbers, dimensions formulas, linear algebra, general modular symbols, computing with newforms, and computing periods.

He'd written a paper about

Bernoulli numbers and I realised that I had noticed some patterns which even he hadn't spotted.