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!)
A336295 a(n) = (n!)^n * [x^n] Product_{k>=1} 1/(1 - x^k/k^n). 1
1, 1, 5, 251, 359200, 25822962624, 141766192358448256, 83301485967496541735457536, 7013555995366382867427754604471779328, 109330254486209621988088555707809713786027354619904, 396335044092985772297627538614627390881554195217999599121962369024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..10.

MATHEMATICA

Table[(n!)^n SeriesCoefficient[Product[1/(1 - x^k/k^n), {k, 1, n}], {x, 0, n}], {n, 0, 10}]

CROSSREFS

Cf. A007841, A215910, A249588, A249593, A269791, A269793, A269794.

Sequence in context: A276485 A308295 A060943 * A332125 A308652 A002770

Adjacent sequences:  A336292 A336293 A336294 * A336296 A336297 A336298

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 16 2020

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 May 14 03:51 EDT 2021. Contains 343872 sequences. (Running on oeis4.)