|
|
A173669
|
|
Numbers k which divide number of groups of order <= k (A063756).
|
|
1
|
|
|
1, 2, 3, 12, 26, 31, 84, 119, 248, 1107, 1543, 1683
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
a(1) = 1 because 1 divides (the number of groups of order <= 1) = (number of groups of order 1) = 1.
a(4) = 12 because 12 divides (the number of groups of order <= 12) = 24.
a(5) = 26 because 26 divides (the number of groups of order <= 26) = 78 = 3 * 26.
a(6) = 31 because 31 divides (the number of groups of order <= 31) = 93 = 3 * 31.
|
|
PROG
|
(GAP) A173669 := function(max) local n, res, i; n := 0; res := []; for i in [1..max] do n := n + NrSmallGroups(i); if n mod i = 0 then Add(res, i); fi; od; return res; end; # Eric M. Schmidt, Feb 10 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|