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Bernoulli Numbers

Calculate Bernoulli numbers B_n.

Bernoulli Number Table
n Bn (fraction) Bn (decimal)

Як користуватися

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

Випадки використання

  • Number theory
  • Zeta function special values
  • Power sum formulas
  • Euler-Maclaurin formula

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