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.

A307703 Highly powerful numbers (A005934) that are not cubeful (A036966).

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%I A307703 #5 May 07 2019 15:17:43
%S A307703 4,144,288,86400,129600,194400,259200,518400,190512000,317520000,
%T A307703 381024000,635040000,9681819840000,215982036990720000,
%U A307703 9466852651364908800000,14200278977047363200000,28400557954094726400000,174294224164279335916800000,522882672492838007750400000
%N A307703 Highly powerful numbers (A005934) that are not cubeful (A036966).
%C A307703 Lacampagne and Selfridge proved that these are the only terms.
%C A307703 The positions of the terms in A005934 are 2, 8, 10, 25, 27, 28, 30, 33, 55, 58, 60, 62, 107, 161, 230, 234, 240, 302, 315.
%H A307703 Carole B. Lacampagne and John L. Selfridge, <a href="https://doi.org/10.1090/S0002-9939-1984-0740165-6">Large highly powerful numbers are cubeful</a>, Proceedings of the American Mathematical Society, Vol. 91, No. 2 (1984), pp. 173-181.
%t A307703 pmax = 1; s = {}; Do[e = FactorInteger[n][[;; , 2]]; p = Times @@ e; If[p > pmax, pmax = p; If[Min[e] < 3, AppendTo[s, n]]], {n, 2, 10^6}]; s
%Y A307703 Cf. A005934, A036966.
%K A307703 nonn,fini,full
%O A307703 1,1
%A A307703 _Amiram Eldar_, Apr 22 2019