login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074319 Product of next n factorials. 2
2, 144, 2073600, 17557585920000, 192668014586363904000000, 5116462645455544976110780416000000000, 551096864092633744724294766310605805584384000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Product of next n factorials gives this sequence, while product of first n factorials = superfactorial is A000178. If superfactorial is sf(n) then this function, "uppersuperfactorial", is usf(n)= sf(2n)/sf(n).

LINKS

Table of n, a(n) for n=1..7.

FORMULA

product(i!, i=n+1, 2n).

a(n) ~ 2^(2*n^2 + 5*n/2 + 5/12) * n^(n*(3*n/2+1)) * Pi^(n/2) / exp(n*(9*n+4)/4). - Vaclav Kotesovec, Jul 11 2015

MATHEMATICA

Table[Product[i!, {i, n+1, 2n}], {n, 10}]

CROSSREFS

Cf. A000178.

Sequence in context: A232998 A103207 A093002 * A188284 A306955 A228507

Adjacent sequences:  A074316 A074317 A074318 * A074320 A074321 A074322

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 22 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 21 07:28 EDT 2021. Contains 347596 sequences. (Running on oeis4.)