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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

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 November 25 08:58 EST 2020. Contains 338623 sequences. (Running on oeis4.)