A number having generating function
(1)
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(2)
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For , 2, ..., the denominators are 48, 5760, 362880, 19353600, ... (OEIS A057868).
It has closed form
(3)
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(4)
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and , where is a Bernoulli number and a gamma function.
A number having generating function
(1)
| |||
(2)
|
For , 2, ..., the denominators are 48, 5760, 362880, 19353600, ... (OEIS A057868).
It has closed form
(3)
| |||
(4)
|
and , where is a Bernoulli number and a gamma function.
Weisstein, Eric W. "Modified Bernoulli Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ModifiedBernoulliNumber.html