OFFSET
1,3
COMMENTS
Number of groups whose order divides p^6 for p a prime.
The groups of these orders (up to A128603(54403784) = 1073741789 in version V2.13-4) form a class contained in the Small Groups Library of MAGMA. (corrected Mar 18 2007)
LINKS
Klaus Brockhaus, Table of n, a(n) for n = 1..10000
MAGMA Documentation, Database of Small Groups
PROG
(Magma) D:=SmallGroupDatabase(); [ NumberOfSmallGroups(D, n) : n in [ k: k in [1..455] | exists(t) {x: x in [t: t in [1..6] ] | IsPower(k, x) and IsPrime(Iroot(k, x)) } ] ];
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Mar 13 2007
STATUS
approved