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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A324402 a(n) = Product_{i=1..n, j=1..n} (2*i + j). 2
3, 360, 6350400, 36212520960000, 117563342374788710400000, 337905477880065368190647009280000000, 1234818479230749311108497004714406224855040000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..25

FORMULA

a(n) ~ sqrt(A/Pi) * 3^(9*n*(n+1)/4 + 11/24) * n^(n^2 - 11/24) / (2^(n^2 + 3*n/2 + 17/24) * exp(3*n^2/2 + 1/24)), where A is the Glaisher-Kinkelin constant A074962.

a(n) = 3*n*a(n-1)*Product_{i=1..n-1} (2*i+n)(2*n+i). - Chai Wah Wu, Feb 26 2019

a(n) = a(n-1) * (3*n)! * (3*n-2)!!/((2*n)! * n!!). - Robert Israel, Feb 27 2019

MAPLE

f:= n -> mul((2*i+n)!/(2*i)!, i=1..n):

map(f, [$1..10]); # Robert Israel, Feb 27 2019

MATHEMATICA

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

CROSSREFS

Cf. A059486, A079478, A324403.

Sequence in context: A266454 A288948 A297483 * A324427 A304285 A324269

Adjacent sequences:  A324399 A324400 A324401 * A324403 A324404 A324405

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 26 2019

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 20 08:08 EDT 2019. Contains 327214 sequences. (Running on oeis4.)