login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A255269 a(n) = Product_{k=1..n} k!^k. 8
1, 4, 864, 286654464, 7132880358604800000, 993710590042385551668019200000000000, 82086865668400428790437436119503664712777728000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

Eric Weisstein's World of Mathematics, Hyperfactorial

Eric Weisstein's World of Mathematics, Superfactorial

FORMULA

a(n) = A255268(n) / A055462(n-1).

a(n) ~ sqrt(A) * exp((3 - 45*n^2 - 32*n^3 - 9*Zeta(3)/Pi^2)/72) * n^((8*n^3 + 18*n^2 + 10*n + 1)/24) * (2*Pi)^(n*(n+1)/4), where A = A074962 = 1.28242712910062263687534256886979... is the Glaisher-Kinkelin constant and Zeta(3) = A002117 = 1.2020569031595942853997... .

MATHEMATICA

Table[Product[k!^k, {k, 1, n}], {n, 1, 10}]

CROSSREFS

Cf. A000178, A002109, A036740, A055462, A255268.

Sequence in context: A176186 A221232 A272167 * A113896 A159706 A188978

Adjacent sequences:  A255266 A255267 A255268 * A255270 A255271 A255272

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 20 2015

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 23 00:33 EST 2017. Contains 295107 sequences.