Exponential Factorial
المؤلف:
Sloane, N. J. A
المصدر:
Sequences A049384 and A080219 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
1-1-2021
1434
Exponential Factorial
The exponential factorial is defined by the recurrence relation
 |
(1)
|
where 
. The first few terms are therefore
... (OEIS A049384). The term 
has 
digits.
The exponential factorial is therefore a kind of "factorial power tower."
The sum of the reciprocals of the exponential factorials is given by
(OEIS A080219). This sum is a Liouville number and is therefore transcendental.
REFERENCES:
Sloane, N. J. A. Sequences A049384 and A080219 in "The On-Line Encyclopedia of Integer Sequences."
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
