cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A384607 Possible values for the number of groups of order equal to a prime power, in order of size.

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%I A384607 #14 Jun 16 2025 18:44:01
%S A384607 1,2,5,14,15,51,67,77,83,87,97,101,107,111,125,131,145,149,155,159,
%T A384607 173,183,193,203,207,217,227,231,245,265,267,269,275,279,289,293,323,
%U A384607 327,341,347,365,371,385,395,399,413,423,433,447,457,461,467,491,504,515
%N A384607 Possible values for the number of groups of order equal to a prime power, in order of size.
%C A384607 Possible values of A098885, ordered by size.
%C A384607 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 A384607 Robin Jones, <a href="/A384607/b384607.txt">Table of n, a(n) for n = 1..180</a>
%e A384607 1 is in this sequence because A000001(2) = 1.
%e A384607 2 is in this sequence because A000001(2^2) = 2.
%e A384607 5 is in this sequence because A000001(2^3) = 5.
%e A384607 3 is not in this sequence as no prime power p^k has A000001(p^k)=3.
%Y A384607 Cf. A000001, A098885, A384606.
%K A384607 nonn
%O A384607 1,2
%A A384607 _Robin Jones_, Jun 04 2025