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!)
A335888 Maximal sum of subgroup indices for a finite group of order n. 1
1, 3, 4, 11, 6, 18, 8, 51, 22, 38, 12, 74, 14, 66, 24, 307, 18, 162, 20, 166, 74, 146, 24, 378, 56, 198, 184, 298, 30, 308, 32, 2451, 48, 326, 48, 722, 38, 402, 212, 886, 42, 564, 44, 682, 132, 578, 48, 2458, 106, 888, 72, 934, 54, 2268, 182, 1626, 422, 902, 60, 1444 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.9.3, 2018. gap-system.org.

LINKS

Table of n, a(n) for n=1..60.

PROG

(GAP)

L:=[];;

for n in [1..100] do

  Mn:=0;

  r:=NrSmallGroups(n);

  for d in [1..r] do

    g:=SmallGroup(n, d);

    lat:=AllSubgroups(g);

    sg:=Sum(List(lat, h->Order(g)/Order(h)));

    if sg>Mn then

      Mn:=sg;

    fi;

  od;

  Add(L, Mn);

od;

Print(L);

CROSSREFS

Cf. A000005, A000203, A018216, A335887.

Sequence in context: A180696 A133760 A335887 * A328851 A197953 A198299

Adjacent sequences:  A335885 A335886 A335887 * A335889 A335890 A335891

KEYWORD

nonn

AUTHOR

Sébastien Palcoux, Jun 28 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 September 18 14:52 EDT 2021. Contains 347527 sequences. (Running on oeis4.)