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!)
A294318 a(n) = Product_{k=0..n} (3*k + 1)!. 4
1, 24, 120960, 438939648000, 2733286318040678400000, 57187975336110258000180019200000000, 6956637001938940278070327452315517609574400000000000, 7819265053064003641840525064819521833578308036969094971392000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..7.

FORMULA

a(n) ~ 3^(3*n^2/2 + 3*n + 47/36) * n^(3*n^2/2 + 3*n + 49/36) * (2*Pi)^(n/2 + 5/6) / (A^(1/3) * Gamma(1/3)^(2/3) * exp(9*n^2/4 + 3*n - 1/36)), where A is the Glaisher-Kinkelin constant A074962.

A268504(n) * A294318(n) * A294319(n) = A000178(3*n + 2).

MATHEMATICA

Table[Product[(3*k + 1)!, {k, 0, n}] , {n, 0, 10}]

CROSSREFS

Cf. A168467, A268504, A294319.

Sequence in context: A052504 A159388 A172628 * A061527 A210278 A201495

Adjacent sequences:  A294315 A294316 A294317 * A294319 A294320 A294321

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 28 2017

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 23 04:01 EDT 2021. Contains 347609 sequences. (Running on oeis4.)