- the
usual convention for the
empty product, the
superfactorial of 0 is 1. The
sequence of
superfactorials,
beginning with s f ( 0 ) = 1 {\displaystyle {\mathit...
- Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000178 (
Superfactorials)". The On-Line
Encyclopedia of
Integer Sequences. OEIS Foundation....
- "Generalizations of Wilson's
theorem for double-, hyper-, sub- and
superfactorials", The
American Mathematical Monthly, 122 (5): 433–443, doi:10.4169/amer...
- /e} .
Superfactorial The
superfactorial of n {\displaystyle n} is the
product of the
first n {\displaystyle n} factorials. The
superfactorials are continuously...
- the
Barnes G-function G(z) is a
function that is an
extension of
superfactorials to the
complex numbers. It is
related to the
gamma function, the K-function...
-
theorem stated in
terms of the hyperfactorials, subfactorials, and
superfactorials are
given in. For
integers k ≥ 1 {\displaystyle k\geq 1} , we have...
-
digits 24,684,612 = 18 + 28 + 38 + 48 + 58 + 68 + 78 + 88 24,883,200 =
superfactorial of 6 25,411,681 = 50412 = 714 26,873,856 = 51842 = 724 27,644,437 =...
- such as the
exponential function, the
factorial function, multi- and
superfactorial functions, and even
functions defined using Knuth's up-arrow notation...
- JSTOR 1990319. MR 0011087. Sloane, N. J. A. (ed.). "Sequence A000178 (
Superfactorials)". The On-Line
Encyclopedia of
Integer Sequences. OEIS Foundation....
- few
generalized Glaisher constants are
given below:
Hyperfactorial Superfactorial Stirling's
approximation List of
mathematical constants Finch, Steven...
