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.

A331407 Numbers at which the sum of the iterated exponential totient function (A331273) attains a record.

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%I A331407 #15 Feb 25 2020 18:32:51
%S A331407 1,2,8,32,128,864,3456,7776,31104,279936,497664,1990656,4478976,
%T A331407 17915904,62208000,97200000,559872000,874800000,1555200000,6220800000,
%U A331407 13996800000,55987200000
%N A331407 Numbers at which the sum of the iterated exponential totient function (A331273) attains a record.
%C A331407 Analogous to A181659 with the exponential totient function (A072911) instead of the Euler totient function phi (A000010).
%C A331407 The corresponding record values are 0, 1, 3, 5, 7, 11, 13, 19, 27, 37, 43, 51, 61, 75, 83, 101, 123, 147, 165, 195, 243, 293, ...
%t A331407 ephi[n_] := Times @@ EulerPhi[FactorInteger[n][[;; , 2]]]; s[n_] := Plus @@ FixedPointList[ephi, n] - n - 1; seq = {}; smax = -1; Do[s1 = s[n]; If[s1 > smax, smax = s1; AppendTo[seq, n]], {n, 1, 5000}]; seq
%Y A331407 Cf. A072911, A181659, A331273.
%K A331407 nonn,more
%O A331407 1,2
%A A331407 _Amiram Eldar_, Feb 25 2020