BernoulliB

利用可能

Bernoulli number.

形式

BernoulliB[n]

BernoulliB[n, x]

検証済みの例BernoulliB[4] → -1/30 BernoulliB[2, x] → 1/6 - x + x^2 BernoulliB[3, z] → z/2 - (3*z^2)/2 + z^3 N[BernoulliB[3, z]] → 0.5*z - 1.5*z^2 + z^3 Solve[N[BernoulliB[3, z]] == 0, z] → \{\{z -> 0\.\}, \{z -> 0\.5(0+\d*)?\}, \{z -> 1\.\}\} (regex)

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トピック

Discrete Calculus - Special Sequences »
Integer Functions - Recurrence and Sum Functions »
Integer Sequences - Generating Functions
Mathematical Functions - Integer Functions »
Recurrence And Sum Functions - General

関連

EulerE Zeta NorlundB Fibonacci Binomial Factorial HarmonicNumber LucasL StirlingS1 BellB CatalanNumber FactorialPower

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