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.

A082086 Fixed points when A001414 is iterated and started at factorials of prime numbers.

This page as a plain text file.
%I A082086 #17 Aug 23 2024 22:04:03
%S A082086 2,5,5,5,13,23,61,19,5,283,5,23,13,29,7,61,947,29,137,11,353,23,199,5,
%T A082086 47,2381,5,103,359,13,5,5,7,5,47,19,577,7,5,29,5,5,5,41,11,23,239,7,
%U A082086 11,5,11,5,23,11821,31,5,5,13669,7,193,5,991,89,7,13,18199,131,113,20849
%N A082086 Fixed points when A001414 is iterated and started at factorials of prime numbers.
%F A082086 a(n) = A029908(A000142(A000040(n))) = A029908(prime(n)!).
%e A082086 n=100, prime(100) = 541, start at 541!, the list is: {541!,...,46374,195,21,10,7} so a(100)=7.
%t A082086 sopfr[n_] := Total[Times @@@ FactorInteger[n]]; a[n_] := FixedPoint[sopfr, Prime[n]!]; Array[a, 100] (* _Jean-François Alcover_, May 06 2017 *)
%Y A082086 Cf. A008475, A082081, A000142, A000040, A000961.
%K A082086 nonn
%O A082086 1,1
%A A082086 _Labos Elemer_, Apr 08 2003