Function bernoulli #

Return the nth Bernoulli number, for positive integers n

Syntax #

math.bernoulli(n)

Parameters #

Parameter Type Description
n number | BigNumber | bigint | Fraction Index of the Bernoulli number

Returns #

Type Description
number | BigNumber | Fraction nth Bernoulli number, of a type corresponding to the argument n

Throws #

Type | Description —- | ———–

Examples #

math.bernoulli(1)                  // returns -0.5
// All other odd Bernoulli numbers are 0:
math.bernoulli(7)                  // returns 0
math.bernoulli(math.bignumber(6))  // value bignumber(1).div(42)
// Produces exact rationals for bigint or fraction input:
math.bernoulli(8n)                 // Fraction -1,30
math.bernoulli(math.fraction(10))  // Fraction 5,66

See also #

combinations, gamma, stirlingS2

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