Gold 15

Bernoulli polynomials

Gold ID

15

Link

https://sigir21.wmflabs.org/wiki/Bernoulli_polynomials#math.65.27

Formula

$E_{n}=2^{n}E_{n}({\tfrac {1}{2}})$

TeX Source

E_n=2^nE_n(\tfrac{1}{2})

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

\EulernumberE{n} = 2^n \EulernumberE{n}(\tfrac{1}{2})

Expected (Gold Entry)

\EulernumberE{n} = 2^n\EulerpolyE{n}@{\tfrac{1}{2}}

Mathematica

Translation

EulerE[n] == (2)^(n)* EulerE[n]*(Divide[1,2])

Expected (Gold Entry)

EulerE[n] == (2)^(n)* EulerE[n, Divide[1,2]]

Maple

Translation

euler(n) = (2)^(n)* euler(n)*((1)/(2))

Expected (Gold Entry)

euler(n) = (2)^(n)* euler(n, (1)/(2))