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!)
A329930 a(n) = n!^2*(Sum_{k=1..n} 1/k). 0
0, 1, 6, 66, 1200, 32880, 1270080, 65862720, 4418426880, 372523898880, 38569208832000, 4811724352512000, 712008517828608000, 123312192439468032000, 24712050750746591232000, 5674212235766262988800000, 1479958528399750515916800000, 435149988031383614993203200000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

For n>=1, a(n) is the number of vertices of the harmonic polytope. See Ardila and Escobar.

LINKS

Table of n, a(n) for n=0..17.

Federico Ardila and Laura Escobar, The harmonic polytope, arXiv:2006.03078 [math.CO], 2020.

FORMULA

a(n) = A000142(n)*A000254(n).

PROG

(PARI) a(n) = n!^2*sum(k=1, n, 1/k);

CROSSREFS

Cf. A000142, A000254.

Sequence in context: A229002 A122020 A262601 * A271220 A259123 A292026

Adjacent sequences:  A329927 A329928 A329929 * A329931 A329932 A329933

KEYWORD

nonn

AUTHOR

Michel Marcus, Jun 08 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 February 27 23:23 EST 2021. Contains 341694 sequences. (Running on oeis4.)