Bernoulli Number Table
| n | Bn (fraction) | Bn (decimal) |
|---|
Comment utiliser
Enter an index n and the Bernoulli number B_n is computed and displayed as an exact fraction, together with a table of the sequence up to n. Odd-indexed values beyond B_1 are zero, which the table makes easy to see. Bernoulli numbers appear throughout number theory and analysis — in power-sum formulas, special values of the Riemann zeta function, and the Euler–Maclaurin formula — so exact fractions matter more than decimal approximations.
- Exact fractional representation
- Sequence display
- Odd indices (except B_1) are all zero
Cas d'utilisation
- Number theory
- Zeta function special values
- Power sum formulas
- Euler-Maclaurin formula