A384607 - OEIS

%I #14 Jun 16 2025 18:44:01

%S 1,2,5,14,15,51,67,77,83,87,97,101,107,111,125,131,145,149,155,159,

%T 173,183,193,203,207,217,227,231,245,265,267,269,275,279,289,293,323,

%U 327,341,347,365,371,385,395,399,413,423,433,447,457,461,467,491,504,515

%N Possible values for the number of groups of order equal to a prime power, in order of size.

%C Possible values of A098885, ordered by size.

%C This sequence is the same regardless of whether 1 is considered a prime power or not (see A000961 for discussion on this) as A000001(1)=A000001(p)=1 for all p.

%H Robin Jones, <a href="/A384607/b384607.txt">Table of n, a(n) for n = 1..180</a>

%e 1 is in this sequence because A000001(2) = 1.

%e 2 is in this sequence because A000001(2^2) = 2.

%e 5 is in this sequence because A000001(2^3) = 5.

%e 3 is not in this sequence as no prime power p^k has A000001(p^k)=3.

%Y Cf. A000001, A098885, A384606.

%K nonn

%O 1,2

%A _Robin Jones_, Jun 04 2025