Fibonacci sequence can be described via the Binet's formula. However, I

Mohammad Cannon

Mohammad Cannon

Answered question

2022-06-20

Fibonacci sequence can be described via the Binet's formula.
However, I was wondering if there was a similar formula for n !.
Is this possible? If not, why not?

Answer & Explanation

massetereqe

massetereqe

Beginner2022-06-21Added 21 answers

If you're willing to accept an integral as an answer, then
n ! = 0 t n e t d t
doodverft05

doodverft05

Beginner2022-06-22Added 2 answers

The relative error of Stirling's approximation gets arbitrarily small as n gets larger.
n ! 2 π n ( n e ) n
However, it is only an approximation, not a closed-form of n !

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