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.

A112538 If b(n) is the smallest positive integer and c(n) is the largest positive integer such that n = b(n)^c(n), then a(n) = c(n)^b(n).

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%I A112538 #14 Nov 06 2017 02:41:53
%S A112538 1,1,4,1,1,1,9,8,1,1,1,1,1,1,16,1,1,1,1,1,1,1,1,32,1,27,1,1,1,1,25,1,
%T A112538 1,1,64,1,1,1,1,1,1,1,1,1,1,1,1,128,1,1,1,1,1,1,1,1,1,1,1,1,1,1,36,1,
%U A112538 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,64,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1024
%N A112538 If b(n) is the smallest positive integer and c(n) is the largest positive integer such that n = b(n)^c(n), then a(n) = c(n)^b(n).
%H A112538 Michael De Vlieger, <a href="/A112538/b112538.txt">Table of n, a(n) for n = 2..10000</a>
%H A112538 G. Kreweras, <a href="/A001844/a001844.pdf">Sur les hiérarchies de segments</a>, Cahiers du Bureau Universitaire de Recherche Opérationnelle, Institut de Statistique, Université de Paris, #20 (1973). (Annotated scanned copy)
%F A112538 a(n) = A052409(n)^A052410(n).
%e A112538 25 = 5^2, so a(25) = 2^5 = 32.
%t A112538 Array[#2^If[#1 == 1, 1, #1^(1/#2)] & @@ {#, Apply[GCD, FactorInteger[#][[All, -1]]]} &, 99, 2] (* _Michael De Vlieger_, Nov 05 2017, after _Ray Chandler_ at A052409 *)
%Y A112538 Cf. A052409, A052410.
%K A112538 nonn
%O A112538 2,3
%A A112538 _Leroy Quet_, Dec 14 2005
%E A112538 Extended by _Ray Chandler_, Dec 25 2005